#include <vector>
#include <complex>
#include <gtest/gtest.h>
#include "module_psi/kernels/memory_op.h"
#include "module_elecstate/kernels/elecstate_op.h"

class TestModuleElecstateMultiDevice : public ::testing::Test
{
  protected:
    // xx = tf.random.uniform([100], minval=-4, maxval=4, dtype = tf.float64)
    const int spin = 0;
    const int nrxx = 1728;
    const bool DOMAG = false;
    const bool DOMAG_Z = true;
    const double w1 = 0.00011779029181838057;
    const double w2 = 5.8895145909190286e-05;
    const std::vector<double> expected_rho = {0.000169776, 0.000178569, 0.000193478, 0.000190963, 0.000162992, 0.00012976, 0.000115885, 0.000130059, 0.00016338, 0.000191117, 0.000193323, 0.000178366, 0.000179064, 0.000204228, 0.000227792, 0.000219629, 0.000183672, 0.000153516, 0.000153676, 0.000183952, 0.000219538, 0.000227101, 0.00020339, 0.000178705, 0.000194839, 0.000228625, 0.000243426, 0.000219702, 0.000181133, 0.000163767, 0.00018138, 0.000219691, 0.000242614, 0.000227273, 0.000193857, 0.00017819, 0.000192755, 0.000220801, 0.000220073, 0.00019118, 0.000164701, 0.000164856, 0.000191352, 0.000219611, 0.000219514, 0.000191386, 0.000165518, 0.000166079, 0.00016434, 0.000184444, 0.00018134, 0.000164698, 0.000156019, 0.000164894, 0.000181257, 0.000183649, 0.00016312, 0.000135954, 0.000124381, 0.000136818, 0.000130335, 0.00015378, 0.000163817, 0.000164888, 0.000164963, 0.000163834, 0.000153372, 0.000129503, 0.000101264, 8.32226e-05, 8.35355e-05, 0.000102059, 0.000116058, 0.000153881, 0.000181671, 0.00019171, 0.000181563, 0.000153518, 0.000115431, 7.94008e-05, 5.55859e-05, 4.77218e-05, 5.59624e-05, 8.00408e-05, 0.000130395, 0.000184659, 0.000220604, 0.000220398, 0.000184101, 0.000129668, 7.94357e-05, 4.63696e-05, 3.15498e-05, 3.16778e-05, 4.67709e-05, 8.00837e-05, 0.000164257, 0.000220901, 0.000243906, 0.000220232, 0.000163282, 0.000101221, 5.55696e-05, 3.15687e-05, 2.46811e-05, 3.17951e-05, 5.61029e-05, 0.00010208, 0.000192313, 0.000228466, 0.000228055, 0.00019132, 0.000135475, 8.28695e-05, 4.76363e-05, 3.17207e-05, 3.18329e-05, 4.80319e-05, 8.3641e-05, 0.000136545, 0.000194159, 0.000203962, 0.000193564, 0.000164464, 0.000123269, 8.29177e-05, 5.58212e-05, 4.6815e-05, 5.60991e-05, 8.35257e-05, 0.000124162, 0.000165391, 0.000178568, 0.000178447, 0.000177044, 0.000164353, 0.000135345, 0.000101334, 7.98722e-05, 8.00263e-05, 0.00010178, 0.000135967, 0.000164933, 0.000177413, 0.00017896, 0.000203835, 0.000227343, 0.000219346, 0.000183589, 0.000153552, 0.000153811, 0.000184272, 0.000220133, 0.000227869, 0.000204034, 0.000178996, 0.000204641, 0.000245599, 0.000266381, 0.000242499, 0.000200025, 0.000180655, 0.000200547, 0.000243195, 0.000266727, 0.000245475, 0.000204416, 0.000185313, 0.00022891, 0.000267126, 0.000266303, 0.000227029, 0.000191299, 0.000191546, 0.000227565, 0.000266585, 0.000266819, 0.000228355, 0.000192972, 0.000193226, 0.000220892, 0.000243298, 0.000227224, 0.000193116, 0.000176958, 0.00019338, 0.000227396, 0.000242974, 0.000220189, 0.00018224, 0.000165126, 0.000182777, 0.000184452, 0.000200435, 0.000191399, 0.000176968, 0.000176991, 0.000191342, 0.000200057, 0.000183759, 0.000149563, 0.000123756, 0.000124008, 0.000150211, 0.000153857, 0.000180864, 0.000191681, 0.000193468, 0.000191384, 0.000180279, 0.000153109, 0.000115507, 8.4576e-05, 7.32605e-05, 8.49347e-05, 0.000116163, 0.000154093, 0.000200993, 0.000227986, 0.000227634, 0.000200117, 0.000153102, 0.000101786, 6.24711e-05, 4.30082e-05, 4.3128e-05, 6.28796e-05, 0.000102542, 0.000184984, 0.000244115, 0.000267228, 0.000243129, 0.000183648, 0.000115422, 6.24715e-05, 3.36981e-05, 2.53705e-05, 3.38925e-05, 6.3015e-05, 0.00011646, 0.000221235, 0.000267707, 0.000267073, 0.000219788, 0.000149084, 8.43875e-05, 4.30356e-05, 2.54251e-05, 2.55042e-05, 4.33728e-05, 8.52167e-05, 0.000150469, 0.000228728, 0.000245742, 0.000227673, 0.000181087, 0.000122902, 7.29834e-05, 4.31838e-05, 3.39974e-05, 4.3403e-05, 7.35933e-05, 0.000124051, 0.000182539, 0.000204196, 0.000203779, 0.00019146, 0.000163418, 0.000122899, 8.45893e-05, 6.29222e-05, 6.30623e-05, 8.50736e-05, 0.000123809, 0.000164615, 0.000192509, 0.000178745, 0.000184257, 0.000191376, 0.000180885, 0.000149064, 0.000115799, 0.000102469, 0.000116203, 0.000149836, 0.000181829, 0.000192182, 0.000184698, 0.000194197, 0.000227602, 0.000242531, 0.000219264, 0.000181092, 0.000163967, 0.000181826, 0.000220523, 0.000243831, 0.000228498, 0.000194599, 0.000178222, 0.00022836, 0.000266431, 0.000265778, 0.000226824, 0.000191362, 0.000191812, 0.000228048, 0.000267291, 0.000267602, 0.00022895, 0.000193197, 0.000193038, 0.000243596, 0.000266133, 0.000244166, 0.00020288, 0.000183901, 0.00020362, 0.00024537, 0.000267252, 0.000244248, 0.000202034, 0.000182436, 0.000201798, 0.000219914, 0.000226984, 0.000202831, 0.000177819, 0.000178022, 0.000203359, 0.000227581, 0.000220314, 0.000184942, 0.000154877, 0.000154845, 0.000184784, 0.000181151, 0.000191228, 0.00018371, 0.000177896, 0.00018366, 0.000191138, 0.000181046, 0.000149503, 0.000116298, 0.000102854, 0.000116343, 0.000149588, 0.000163791, 0.000191618, 0.000203375, 0.000203111, 0.00019099, 0.000163151, 0.000122788, 8.45394e-05, 6.28441e-05, 6.28824e-05, 8.47057e-05, 0.000123192, 0.000181825, 0.000228007, 0.0002451, 0.000227175, 0.000180756, 0.000122709, 7.28545e-05, 4.30544e-05, 3.38231e-05, 4.31296e-05, 7.31592e-05, 0.000123445, 0.000220837, 0.000267297, 0.000266739, 0.000219626, 0.000149104, 8.44935e-05, 4.312e-05, 2.54477e-05, 2.54607e-05, 4.32413e-05, 8.49761e-05, 0.000150132, 0.00024411, 0.000267192, 0.00024319, 0.000183917, 0.000115847, 6.28857e-05, 3.39986e-05, 2.55682e-05, 3.40292e-05, 6.31138e-05, 0.000116538, 0.000185036, 0.000228282, 0.000227879, 0.000200457, 0.000153624, 0.000102398, 6.30086e-05, 4.34058e-05, 4.34269e-05, 6.31469e-05, 0.000102846, 0.000154464, 0.00020137, 0.000193957, 0.000191754, 0.000180646, 0.000153539, 0.000115928, 8.48887e-05, 7.34535e-05, 8.5078e-05, 0.000116387, 0.000154285, 0.000181475, 0.000192302, 0.000177651, 0.000191707, 0.000200165, 0.000183666, 0.000149307, 0.000123383, 0.000123605, 0.00014996, 0.00018462, 0.000201118, 0.000192363, 0.000177876, 0.000191783, 0.000219569, 0.00021921, 0.000190941, 0.000164941, 0.000165437, 0.000192324, 0.000221049, 0.000221193, 0.000192766, 0.000166159, 0.00016585, 0.00021996, 0.00024227, 0.00022661, 0.000193081, 0.000177415, 0.000194268, 0.0002287, 0.000244543, 0.00022165, 0.000183213, 0.000165438, 0.000182397, 0.000219454, 0.000226546, 0.00020266, 0.000177976, 0.000178476, 0.000204075, 0.000228484, 0.000221241, 0.000185699, 0.000155343, 0.000154979, 0.00018457, 0.00019067, 0.00019267, 0.000177686, 0.000169169, 0.000178188, 0.000193597, 0.000191769, 0.000164278, 0.000131062, 0.000116874, 0.000130584, 0.000163371, 0.000164266, 0.000176694, 0.000177869, 0.000177851, 0.000176716, 0.000164456, 0.000135833, 0.000101933, 8.03218e-05, 8.02043e-05, 0.000101624, 0.000135492, 0.000164644, 0.000193371, 0.000203198, 0.000192973, 0.00016421, 0.000123358, 8.31557e-05, 5.59935e-05, 4.6818e-05, 5.58866e-05, 8.30724e-05, 0.000123516, 0.000191606, 0.000227705, 0.000227401, 0.000190999, 0.000135555, 8.31647e-05, 4.78966e-05, 3.18287e-05, 3.17699e-05, 4.77766e-05, 8.31897e-05, 0.000135944, 0.00022038, 0.000243396, 0.000220002, 0.00016352, 0.000101796, 5.61586e-05, 3.19688e-05, 2.48775e-05, 3.18148e-05, 5.59491e-05, 0.000101777, 0.000163838, 0.000220371, 0.000220283, 0.000184384, 0.000130411, 8.03645e-05, 4.71541e-05, 3.20674e-05, 3.19629e-05, 4.68692e-05, 8.00456e-05, 0.000130283, 0.000184483, 0.000191758, 0.000181752, 0.000154082, 0.000116363, 8.04071e-05, 5.6379e-05, 4.82162e-05, 5.6199e-05, 8.01134e-05, 0.000116105, 0.000153974, 0.000181753, 0.000165222, 0.000164124, 0.000153901, 0.000130258, 0.000101987, 8.36893e-05, 8.37044e-05, 0.000102039, 0.000130355, 0.000154029, 0.000164235, 0.000165266, 0.000165291, 0.000181461, 0.000183847, 0.000163329, 0.000136024, 0.000124216, 0.000136499, 0.000164162, 0.00018475, 0.000182137, 0.000165623, 0.00015673, 0.000163569, 0.00018354, 0.000180875, 0.000164863, 0.000156711, 0.000166032, 0.000182847, 0.000185594, 0.000165052, 0.000137407, 0.000125083, 0.000136701, 0.000183577, 0.000199544, 0.000191064, 0.000177383, 0.000178094, 0.000193021, 0.000202132, 0.000185895, 0.000151357, 0.000124942, 0.00012448, 0.000149918, 0.000180558, 0.000190738, 0.000183719, 0.000178516, 0.000184812, 0.000192645, 0.000182663, 0.000150976, 0.000117447, 0.000103605, 0.00011663, 0.000149349, 0.000164042, 0.000176567, 0.000178014, 0.00017829, 0.000177355, 0.000165163, 0.000136503, 0.000102511, 8.07849e-05, 8.05329e-05, 0.000101763, 0.000135398, 0.000155504, 0.000176838, 0.00018384, 0.000176902, 0.000155733, 0.000122862, 8.78198e-05, 6.26008e-05, 5.37126e-05, 6.23463e-05, 8.73915e-05, 0.000122452, 0.000164634, 0.000191497, 0.000191418, 0.00016453, 0.000122719, 8.18656e-05, 5.29609e-05, 3.90106e-05, 3.89192e-05, 5.27242e-05, 8.16226e-05, 0.000122647, 0.000181433, 0.000200572, 0.000181486, 0.000136005, 8.78125e-05, 5.30691e-05, 3.46193e-05, 2.90604e-05, 3.43956e-05, 5.26804e-05, 8.74193e-05, 0.00013578, 0.000184272, 0.000184487, 0.000150048, 0.000102277, 6.28005e-05, 3.92835e-05, 2.92168e-05, 2.90551e-05, 3.88043e-05, 6.20696e-05, 0.000101486, 0.000149456, 0.000163873, 0.000150183, 0.000116786, 8.07673e-05, 5.40762e-05, 3.93422e-05, 3.47e-05, 3.89455e-05, 5.3295e-05, 7.971e-05, 0.000115732, 0.000149515, 0.000136441, 0.00012402, 0.000103157, 8.06774e-05, 6.28601e-05, 5.33021e-05, 5.31329e-05, 6.23436e-05, 7.98387e-05, 0.000102157, 0.000123181, 0.000136111, 0.000124411, 0.000123824, 0.000116395, 0.000102099, 8.80972e-05, 8.23993e-05, 8.80746e-05, 0.000101969, 0.000116088, 0.000123418, 0.00012412, 0.000123477, 0.000136384, 0.00014958, 0.000149401, 0.000135994, 0.000123413, 0.000123714, 0.000136778, 0.00015033, 0.000150286, 0.000136742, 0.000123842, 0.000123745, 0.000129876, 0.000153196, 0.000163656, 0.000165404, 0.000166112, 0.000165473, 0.00015535, 0.000131594, 0.00010315, 8.46425e-05, 8.43506e-05, 0.000102184, 0.000153082, 0.000180108, 0.000191611, 0.000194349, 0.000193074, 0.000182444, 0.000155389, 0.000117587, 8.6239e-05, 7.44187e-05, 8.54958e-05, 0.000115985, 0.000163108, 0.000191128, 0.000203621, 0.000204191, 0.000192609, 0.000164915, 0.000124426, 8.59286e-05, 6.39458e-05, 6.36734e-05, 8.50474e-05, 0.000122922, 0.00016427, 0.000193218, 0.000203544, 0.000193735, 0.000165102, 0.000124183, 8.38875e-05, 5.66566e-05, 4.74156e-05, 5.63674e-05, 8.32827e-05, 0.000123342, 0.000164511, 0.000191479, 0.000191563, 0.00016474, 0.000122895, 8.20151e-05, 5.31381e-05, 3.92361e-05, 3.91765e-05, 5.29581e-05, 8.17365e-05, 0.000122592, 0.000163723, 0.000180812, 0.000163935, 0.00012388, 8.20223e-05, 5.22662e-05, 3.65683e-05, 3.18566e-05, 3.64529e-05, 5.2034e-05, 8.16996e-05, 0.000123551, 0.0001538, 0.000154107, 0.000123809, 8.38231e-05, 5.32741e-05, 3.6669e-05, 3.01209e-05, 3.00101e-05, 3.63253e-05, 5.26796e-05, 8.30355e-05, 0.000123075, 0.000130433, 0.000116752, 8.56391e-05, 5.67519e-05, 3.94538e-05, 3.2037e-05, 3.0099e-05, 3.16854e-05, 3.87272e-05, 5.56478e-05, 8.43587e-05, 0.000115836, 0.00010236, 8.57183e-05, 6.38156e-05, 4.75674e-05, 3.94416e-05, 3.67055e-05, 3.65041e-05, 3.88229e-05, 4.65113e-05, 6.24189e-05, 8.44039e-05, 0.000101803, 8.41204e-05, 7.4067e-05, 6.36153e-05, 5.65795e-05, 5.33297e-05, 5.24404e-05, 5.30374e-05, 5.59239e-05, 6.25876e-05, 7.28955e-05, 8.33033e-05, 8.80873e-05, 8.4031e-05, 8.5275e-05, 8.51082e-05, 8.36835e-05, 8.23938e-05, 8.24628e-05, 8.37687e-05, 8.49763e-05, 8.48556e-05, 8.35455e-05, 8.2405e-05, 8.26193e-05, 0.000102056, 0.000115945, 0.000123228, 0.000124114, 0.000123743, 0.000124869, 0.000124326, 0.000116858, 0.000102542, 8.85546e-05, 8.28387e-05, 8.83948e-05, 0.000115515, 0.000153178, 0.000181461, 0.000192345, 0.000182929, 0.000155283, 0.000117307, 8.11734e-05, 5.70951e-05, 4.88782e-05, 5.66632e-05, 8.01132e-05, 0.000153026, 0.000199999, 0.000227897, 0.000228681, 0.000201896, 0.000155064, 0.000103597, 6.39952e-05, 4.4215e-05, 4.40134e-05, 6.32707e-05, 0.00010215, 0.00018076, 0.000227277, 0.000245333, 0.000228261, 0.000182143, 0.000123998, 7.39655e-05, 4.40085e-05, 3.46431e-05, 4.37634e-05, 7.3327e-05, 0.000122863, 0.000190936, 0.00022738, 0.000227646, 0.000191525, 0.000136033, 8.35705e-05, 4.83429e-05, 3.23506e-05, 3.23385e-05, 4.8263e-05, 8.33041e-05, 0.000135512, 0.000181134, 0.000200401, 0.000181425, 0.000135892, 8.76473e-05, 5.30001e-05, 3.47412e-05, 2.93641e-05, 3.48117e-05, 5.30612e-05, 8.75565e-05, 0.000135598, 0.000153668, 0.000153945, 0.000123591, 8.35558e-05, 5.30393e-05, 3.65508e-05, 3.01554e-05, 3.01799e-05, 3.65648e-05, 5.28929e-05, 8.31275e-05, 0.000123022, 0.00011622, 0.000103006, 7.38389e-05, 4.83881e-05, 3.4772e-05, 3.01478e-05, 2.93687e-05, 3.00549e-05, 3.44657e-05, 4.77231e-05, 7.28621e-05, 0.000102207, 8.0567e-05, 6.37096e-05, 4.39393e-05, 3.23335e-05, 2.93244e-05, 3.0128e-05, 3.00339e-05, 2.89846e-05, 3.16325e-05, 4.28335e-05, 6.25121e-05, 8.00199e-05, 5.67399e-05, 4.39985e-05, 3.45114e-05, 3.22339e-05, 3.47269e-05, 3.65371e-05, 3.45117e-05, 3.17005e-05, 3.35899e-05, 4.28176e-05, 5.58289e-05, 6.26212e-05, 4.8614e-05, 4.37771e-05, 4.35783e-05, 4.81697e-05, 5.31171e-05, 5.31103e-05, 4.80256e-05, 4.31076e-05, 4.2978e-05, 4.77782e-05, 5.30685e-05, 5.34388e-05, 5.64569e-05, 6.30598e-05, 7.32512e-05, 8.3521e-05, 8.81195e-05, 8.39039e-05, 7.36216e-05, 6.30901e-05, 5.61824e-05, 5.32249e-05, 5.26704e-05, 5.35023e-05, 8.0015e-05, 0.00010211, 0.000123169, 0.000136376, 0.000136928, 0.000124447, 0.00010336, 8.07737e-05, 6.3059e-05, 5.36874e-05, 5.36252e-05, 6.27624e-05, 0.000129242, 0.000183365, 0.00022001, 0.000220842, 0.000185267, 0.000131075, 8.08007e-05, 4.75724e-05, 3.25427e-05, 3.24257e-05, 4.70969e-05, 7.96796e-05, 0.000183131, 0.000242521, 0.000266806, 0.000243863, 0.000184888, 0.000116656, 6.35454e-05, 3.45949e-05, 2.61054e-05, 3.44031e-05, 6.29404e-05, 0.000115378, 0.000219078, 0.000266116, 0.000266622, 0.000220161, 0.000149719, 8.50357e-05, 4.36645e-05, 2.60092e-05, 2.60116e-05, 4.35972e-05, 8.46568e-05, 0.000148832, 0.000219273, 0.000242736, 0.000219796, 0.00016338, 0.0001016, 5.6097e-05, 3.21594e-05, 2.52787e-05, 3.23251e-05, 5.6299e-05, 0.000101538, 0.0001629, 0.0001837, 0.000183984, 0.0001495, 0.000101615, 6.22155e-05, 3.89983e-05, 2.92949e-05, 2.94338e-05, 3.93295e-05, 6.24674e-05, 0.000101468, 0.000149009, 0.000130057, 0.000116254, 8.50146e-05, 5.61045e-05, 3.89505e-05, 3.18085e-05, 3.01956e-05, 3.20324e-05, 3.91534e-05, 5.5959e-05, 8.44065e-05, 0.000115619, 8.03256e-05, 6.34002e-05, 4.35985e-05, 3.20142e-05, 2.90869e-05, 3.00446e-05, 3.01262e-05, 2.91771e-05, 3.18231e-05, 4.29453e-05, 6.24943e-05, 7.98732e-05, 4.73275e-05, 3.44193e-05, 2.57751e-05, 2.49389e-05, 2.90501e-05, 3.17653e-05, 2.90994e-05, 2.47974e-05, 2.52566e-05, 3.35478e-05, 4.65605e-05, 5.36004e-05, 3.23057e-05, 2.58073e-05, 2.56053e-05, 3.18332e-05, 3.89116e-05, 3.89798e-05, 3.18589e-05, 2.53347e-05, 2.51871e-05, 3.15495e-05, 3.88849e-05, 3.92491e-05, 3.21381e-05, 3.39911e-05, 4.31034e-05, 5.5901e-05, 6.23845e-05, 5.61972e-05, 4.32888e-05, 3.38106e-05, 3.16759e-05, 3.44439e-05, 3.66118e-05, 3.48588e-05, 4.6815e-05, 6.25659e-05, 8.44258e-05, 0.000101752, 0.000102168, 8.5279e-05, 6.31952e-05, 4.69861e-05, 3.91033e-05, 3.67077e-05, 3.67876e-05, 3.92044e-05, 7.95397e-05, 0.000115317, 0.000149266, 0.00016403, 0.000150495, 0.000116888, 8.06518e-05, 5.39992e-05, 3.9481e-05, 3.504e-05, 3.93308e-05, 5.34902e-05, 0.000162245, 0.000218994, 0.000242976, 0.000220373, 0.000163988, 0.000102049, 5.63514e-05, 3.22528e-05, 2.52347e-05, 3.21075e-05, 5.58345e-05, 0.000100854, 0.000218578, 0.000265718, 0.0002664, 0.000220051, 0.000149616, 8.49083e-05, 4.35382e-05, 2.58968e-05, 2.5888e-05, 4.3411e-05, 8.4347e-05, 0.000148382, 0.000241876, 0.000265842, 0.000242791, 0.00018387, 0.000115791, 6.29115e-05, 3.42048e-05, 2.59007e-05, 3.43398e-05, 6.29914e-05, 0.000115408, 0.000182897, 0.000219059, 0.000219486, 0.000183833, 0.000129775, 7.9756e-05, 4.68533e-05, 3.21433e-05, 3.23118e-05, 4.72629e-05, 8.00321e-05, 0.00012946, 0.000183057, 0.000163127, 0.00014946, 0.000115913, 7.97889e-05, 5.32883e-05, 3.89858e-05, 3.48174e-05, 3.94074e-05, 5.38133e-05, 7.98969e-05, 0.000115367, 0.000148786, 0.000101745, 8.49632e-05, 6.29319e-05, 4.67002e-05, 3.88037e-05, 3.64789e-05, 3.67183e-05, 3.92949e-05, 4.6957e-05, 6.25904e-05, 8.4203e-05, 0.000101331, 5.62433e-05, 4.34449e-05, 3.39337e-05, 3.16952e-05, 3.43572e-05, 3.64712e-05, 3.47172e-05, 3.19884e-05, 3.37851e-05, 4.28128e-05, 5.55935e-05, 6.22174e-05, 3.20578e-05, 2.55638e-05, 2.53584e-05, 3.16044e-05, 3.87762e-05, 3.89851e-05, 3.19469e-05, 2.54096e-05, 2.51908e-05, 3.14512e-05, 3.86897e-05, 3.90057e-05, 2.48989e-05, 2.53537e-05, 3.35944e-05, 4.64923e-05, 5.33536e-05, 4.69089e-05, 3.39239e-05, 2.52956e-05, 2.45176e-05, 2.87455e-05, 3.16431e-05, 2.91355e-05, 3.16775e-05, 4.27794e-05, 6.2334e-05, 7.97092e-05, 8.00862e-05, 6.30546e-05, 4.32192e-05, 3.16837e-05, 2.8838e-05, 2.98786e-05, 3.0009e-05, 2.90585e-05, 5.54665e-05, 8.39616e-05, 0.000115411, 0.000130106, 0.000116386, 8.50888e-05, 5.6121e-05, 3.89503e-05, 3.17868e-05, 3.00998e-05, 3.18029e-05, 3.87681e-05, 0.00010074, 0.000148546, 0.000183762, 0.000184484, 0.000150126, 0.000102135, 6.25699e-05, 3.91984e-05, 2.93405e-05, 2.92906e-05, 3.89402e-05, 6.18243e-05, 0.000189968, 0.000226648, 0.000227274, 0.000191338, 0.000135795, 8.32333e-05, 4.79955e-05, 3.20438e-05, 3.20297e-05, 4.78504e-05, 8.26649e-05, 0.000134614, 0.000226111, 0.000244162, 0.000227213, 0.000181152, 0.000123019, 7.31013e-05, 4.33658e-05, 3.41949e-05, 4.34179e-05, 7.2966e-05, 0.000122298, 0.000179849, 0.00022641, 0.000227013, 0.000200217, 0.000153416, 0.000102096, 6.283e-05, 4.34486e-05, 4.35768e-05, 6.30788e-05, 0.000102009, 0.000152574, 0.00019898, 0.000190797, 0.000181278, 0.000153628, 0.000115686, 7.97449e-05, 5.60445e-05, 4.82651e-05, 5.64563e-05, 8.01779e-05, 0.000115496, 0.00015265, 0.000180303, 0.000135822, 0.000123417, 0.000102333, 7.97159e-05, 6.21003e-05, 5.30044e-05, 5.33078e-05, 6.27516e-05, 8.00614e-05, 0.000101861, 0.000122438, 0.000135312, 8.34484e-05, 7.3298e-05, 6.27092e-05, 5.56834e-05, 5.27088e-05, 5.22875e-05, 5.32935e-05, 5.62897e-05, 6.27241e-05, 7.26334e-05, 8.2733e-05, 8.7425e-05, 4.79875e-05, 4.31295e-05, 4.28933e-05, 4.75375e-05, 5.2729e-05, 5.30717e-05, 4.81982e-05, 4.32335e-05, 4.28738e-05, 4.73926e-05, 5.24865e-05, 5.28037e-05, 3.1743e-05, 3.36193e-05, 4.27264e-05, 5.55719e-05, 6.22051e-05, 5.61732e-05, 4.32948e-05, 3.37181e-05, 3.14217e-05, 3.40299e-05, 3.61221e-05, 3.44009e-05, 3.15416e-05, 4.26766e-05, 6.22434e-05, 7.96303e-05, 8.00287e-05, 6.30029e-05, 4.31349e-05, 3.15386e-05, 2.8622e-05, 2.96133e-05, 2.97547e-05, 2.88637e-05, 4.73524e-05, 7.24157e-05, 0.000101778, 0.000115845, 0.000102578, 7.3278e-05, 4.77667e-05, 3.41975e-05, 2.96799e-05, 2.90223e-05, 2.97829e-05, 3.41793e-05, 8.24296e-05, 0.000122382, 0.000153314, 0.000153853, 0.000123517, 8.33491e-05, 5.27466e-05, 3.6259e-05, 2.98878e-05, 2.98951e-05, 3.61821e-05, 5.23392e-05, 0.000134706, 0.000180492, 0.00020022, 0.000181553, 0.000136011, 8.76068e-05, 5.28457e-05, 3.45468e-05, 2.91322e-05, 3.44743e-05, 5.25143e-05, 8.67563e-05, 0.000192476, 0.000202953, 0.000193269, 0.000164542, 0.000123406, 8.30327e-05, 5.5932e-05, 4.68833e-05, 5.59711e-05, 8.29089e-05, 0.000122833, 0.000163568, 0.000202578, 0.000203146, 0.000191496, 0.000163576, 0.000122925, 8.45632e-05, 6.29273e-05, 6.30011e-05, 8.4632e-05, 0.000122567, 0.000162534, 0.000190239, 0.000193094, 0.000191727, 0.000180882, 0.000153543, 0.000115707, 8.47041e-05, 7.33911e-05, 8.49485e-05, 0.00011576, 0.000152812, 0.000179443, 0.000190543, 0.000164985, 0.00016428, 0.000153902, 0.000129894, 0.000101524, 8.34307e-05, 8.36724e-05, 0.000101963, 0.000129796, 0.000152824, 0.000162829, 0.000164318, 0.000124187, 0.000123646, 0.000115948, 0.000101433, 8.75308e-05, 8.21529e-05, 8.80862e-05, 0.000101914, 0.000115608, 0.000122509, 0.000123176, 0.000122883, 8.35386e-05, 8.47608e-05, 8.44441e-05, 8.29716e-05, 8.18669e-05, 8.22377e-05, 8.3701e-05, 8.47534e-05, 8.42682e-05, 8.26769e-05, 8.15331e-05, 8.19515e-05, 5.59126e-05, 6.25578e-05, 7.27056e-05, 8.2978e-05, 8.77087e-05, 8.36486e-05, 7.33599e-05, 6.26251e-05, 5.54514e-05, 5.23311e-05, 5.18043e-05, 5.28019e-05, 4.65013e-05, 6.23551e-05, 8.42158e-05, 0.000101497, 0.000101889, 8.49668e-05, 6.27798e-05, 4.64125e-05, 3.83834e-05, 3.59317e-05, 3.60993e-05, 3.87052e-05, 5.55151e-05, 8.41575e-05, 0.000115586, 0.000130113, 0.000116211, 8.47823e-05, 5.5718e-05, 3.84676e-05, 3.1255e-05, 2.95943e-05, 3.14276e-05, 3.85969e-05, 8.27265e-05, 0.000122767, 0.000153602, 0.000153933, 0.000123423, 8.31643e-05, 5.25199e-05, 3.60119e-05, 2.96459e-05, 2.97056e-05, 3.61091e-05, 5.24442e-05, 0.0001231, 0.000163422, 0.000180773, 0.000163969, 0.000123715, 8.16183e-05, 5.17916e-05, 3.61707e-05, 3.15677e-05, 3.62194e-05, 5.17592e-05, 8.13068e-05, 0.000163955, 0.000191154, 0.000191505, 0.000164707, 0.000122651, 8.15762e-05, 5.26784e-05, 3.88668e-05, 3.88879e-05, 5.26703e-05, 8.13391e-05, 0.000122042, 0.000177949, 0.000178224, 0.000177098, 0.000164478, 0.000135415, 0.000101353, 7.98668e-05, 7.99553e-05, 0.000101514, 0.000135364, 0.000164031, 0.0001765, 0.000178256, 0.000184406, 0.000191805, 0.000181199, 0.000149144, 0.00011576, 0.000102371, 0.000115917, 0.000149093, 0.000180508, 0.00019063, 0.000183509, 0.000177763, 0.000192413, 0.000200895, 0.000183997, 0.000149287, 0.000123244, 0.000123385, 0.000149437, 0.000183498, 0.0001995, 0.000190872, 0.00017711, 0.000165789, 0.000182296, 0.000184419, 0.000163397, 0.0001358, 0.000123931, 0.000136118, 0.000163418, 0.00018347, 0.00018064, 0.000164539, 0.000156455, 0.000136691, 0.000150007, 0.000149512, 0.000135719, 0.000122961, 0.000123217, 0.000136137, 0.000149324, 0.000148911, 0.000135376, 0.000122941, 0.00012351, 0.000101983, 0.000115965, 0.00012304, 0.000123648, 0.000123107, 0.000124119, 0.000123373, 0.000115602, 0.000101093, 8.72159e-05, 8.18811e-05, 8.79275e-05, 7.9881e-05, 0.000102134, 0.000123047, 0.000135942, 0.000136207, 0.00012351, 0.000102223, 7.94634e-05, 6.17064e-05, 5.24766e-05, 5.27153e-05, 6.22537e-05, 7.97623e-05, 0.000115769, 0.000149534, 0.000163824, 0.000149842, 0.000115968, 7.95996e-05, 5.29026e-05, 3.84306e-05, 3.41378e-05, 3.87003e-05, 5.32672e-05, 0.000101581, 0.000149594, 0.000184453, 0.000184526, 0.000149665, 0.000101448, 6.18208e-05, 3.84618e-05, 2.86739e-05, 2.87762e-05, 3.87297e-05, 6.21174e-05, 0.000135957, 0.00018172, 0.000200931, 0.000181658, 0.000135758, 8.72314e-05, 5.24467e-05, 3.4166e-05, 2.88205e-05, 3.43373e-05, 5.27495e-05, 8.75491e-05, 0.000164855, 0.000191857, 0.000191831, 0.000164733, 0.00012255, 8.14472e-05, 5.25465e-05, 3.87505e-05, 3.88353e-05, 5.27865e-05, 8.17652e-05, 0.000122809, 0.000176973, 0.000184073, 0.000177107, 0.000155669, 0.000122434, 8.72103e-05, 6.20709e-05, 5.33865e-05, 6.22328e-05, 8.744e-05, 0.000122554, 0.000155593};
    const std::vector<std::complex<double>> wfcr = {{0.923838, -0.766723}, {0.946855, -0.787058}, {0.98573, -0.819083}, {0.979491, -0.813515}, {0.904645, -0.751906}, {0.806637, -0.67153}, {0.762282, -0.634627}, {0.808631, -0.671024}, {0.907874, -0.750202}, {0.982864, -0.810243}, {0.988344, -0.815121}, {0.948235, -0.784292}, {0.94822, -0.78808}, {1.01275, -0.841533}, {1.07019, -0.888017}, {1.05126, -0.871455}, {0.961291, -0.797015}, {0.878556, -0.728999}, {0.879115, -0.729255}, {0.962554, -0.796984}, {1.05236, -0.869683}, {1.07057, -0.884247}, {1.01257, -0.837506}, {0.948058, -0.786339}, {0.98916, -0.822}, {1.07203, -0.889774}, {1.10691, -0.917254}, {1.05194, -0.870988}, {0.954991, -0.791043}, {0.907701, -0.752602}, {0.955251, -0.792053}, {1.05176, -0.871156}, {1.1057, -0.914953}, {1.07012, -0.88562}, {0.987688, -0.818688}, {0.946156, -0.785852}, {0.984195, -0.817182}, {1.05394, -0.87392}, {1.0527, -0.871877}, {0.981212, -0.812574}, {0.91036, -0.754655}, {0.910444, -0.755421}, {0.981031, -0.81369}, {1.05148, -0.871097}, {1.0516, -0.870478}, {0.981773, -0.812974}, {0.912427, -0.756748}, {0.913464, -0.758645}, {0.908971, -0.754295}, {0.963366, -0.79862}, {0.955384, -0.791681}, {0.910268, -0.754744}, {0.885649, -0.734965}, {0.910563, -0.755494}, {0.95523, -0.791423}, {0.962139, -0.795868}, {0.907001, -0.749786}, {0.827693, -0.684931}, {0.791008, -0.655941}, {0.829214, -0.688433}, {0.809457, -0.671775}, {0.879509, -0.729387}, {0.907706, -0.752877}, {0.910496, -0.755542}, {0.910841, -0.755549}, {0.908354, -0.752191}, {0.879698, -0.726779}, {0.808843, -0.66724}, {0.715068, -0.590231}, {0.647503, -0.535978}, {0.647961, -0.537899}, {0.716026, -0.594774}, {0.76381, -0.633945}, {0.879729, -0.729707}, {0.955803, -0.792947}, {0.981976, -0.814417}, {0.956255, -0.791826}, {0.880226, -0.72699}, {0.763934, -0.629583}, {0.633519, -0.522245}, {0.529231, -0.437973}, {0.489342, -0.407046}, {0.529559, -0.441213}, {0.633801, -0.527082}, {0.809945, -0.671563}, {0.963921, -0.799094}, {1.05348, -0.873514}, {1.05332, -0.872713}, {0.963433, -0.796712}, {0.809205, -0.667849}, {0.633275, -0.522824}, {0.482815, -0.40069}, {0.396853, -0.332197}, {0.397105, -0.333528}, {0.483473, -0.404133}, {0.6341, -0.527068}, {0.909689, -0.752964}, {1.05459, -0.873619}, {1.10791, -0.918271}, {1.05302, -0.872265}, {0.90709, -0.750598}, {0.713992, -0.591227}, {0.527792, -0.439548}, {0.395934, -0.333532}, {0.348973, -0.296229}, {0.397168, -0.334944}, {0.530053, -0.441972}, {0.716797, -0.593993}, {0.984821, -0.814125}, {1.07256, -0.888377}, {1.07113, -0.888141}, {0.981027, -0.813528}, {0.825252, -0.684905}, {0.644281, -0.537062}, {0.486491, -0.409564}, {0.395306, -0.3362}, {0.396422, -0.336303}, {0.489654, -0.409894}, {0.648876, -0.537628}, {0.830161, -0.685605}, {0.989527, -0.818036}, {1.01305, -0.839816}, {0.986307, -0.818834}, {0.908865, -0.75512}, {0.786138, -0.6546}, {0.643264, -0.53866}, {0.526119, -0.443962}, {0.48143, -0.407024}, {0.528918, -0.443292}, {0.648267, 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-0.633373}, {0.807088, -0.673172}, {0.763381, -0.636653}, {0.653433, -0.543507}, {0.531722, -0.440136}, {0.443716, -0.365774}, {0.400837, -0.330437}, {0.389558, -0.322152}, {0.400043, -0.331604}, {0.441644, -0.366167}, {0.711186, -0.591151}, {0.862936, -0.718641}, {0.95913, -0.800092}, {0.960843, -0.801868}, {0.867175, -0.72286}, {0.715938, -0.595418}, {0.560808, -0.465502}, {0.443789, -0.368554}, {0.383526, -0.319373}, {0.383013, -0.319325}, {0.44195, -0.36779}, {0.557256, -0.462962}, {0.977648, -0.810535}, {1.06704, -0.886339}, {1.06819, -0.887951}, {0.980195, -0.814622}, {0.825755, -0.686283}, {0.645961, -0.53792}, {0.489583, -0.409603}, {0.399407, -0.335432}, {0.399886, -0.334684}, {0.490293, -0.407243}, {0.645521, -0.533948}, {0.823687, -0.681448}, {1.06705, -0.883747}, {1.10838, -0.918884}, {1.06907, -0.886589}, {0.95443, -0.791821}, {0.786003, -0.653136}, {0.605002, -0.504557}, {0.465166, -0.389591}, {0.413125, -0.345878}, {0.466744, -0.38827}, {0.606417, -0.501713}, {0.785557, -0.648974}, {0.952244, -0.787455}, {1.06833, -0.883635}, {1.06952, -0.885097}, {1.00419, -0.831485}, {0.878647, -0.728307}, {0.716209, -0.594817}, {0.561322, -0.46725}, {0.466711, -0.388645}, {0.468032, -0.388457}, {0.564014, -0.466269}, {0.717716, -0.592374}, {0.87765, -0.724591}, {1.00188, -0.827957}, {0.981157, -0.810639}, {0.956112, -0.790469}, {0.879911, -0.728015}, {0.763366, -0.631984}, {0.633787, -0.524711}, {0.531582, -0.439568}, {0.493744, -0.407396}, {0.534328, -0.440214}, {0.636773, -0.524598}, {0.764022, -0.629912}, {0.878061, -0.724537}, {0.954022, -0.78775}, {0.828059, -0.683667}, {0.789068, -0.652029}, {0.71852, -0.593719}, {0.634587, -0.523508}, {0.560808, -0.4612}, {0.51873, -0.425334}, {0.520357, -0.426373}, {0.564205, -0.463048}, {0.636747, -0.523687}, {0.717815, -0.59119}, {0.786736, -0.648461}, {0.826821, -0.681998}, {0.649228, -0.535679}, {0.608408, -0.50211}, {0.563277, -0.463787}, {0.531714, -0.435906}, {0.518103, -0.423142}, {0.516232, -0.421199}, {0.520815, -0.425671}, {0.534699, -0.438152}, {0.564022, -0.463018}, {0.606713, -0.49853}, {0.647261, -0.532381}, {0.66494, -0.547781}, {0.492575, -0.405916}, {0.467289, -0.384442}, {0.4668, -0.382423}, {0.492099, -0.401766}, {0.518402, -0.422978}, {0.519799, -0.424699}, {0.495055, -0.405101}, {0.468805, -0.383745}, {0.466945, -0.38203}, {0.490834, -0.401783}, {0.516067, -0.423401}, {0.517019, -0.425414}, {0.400898, -0.329801}, {0.413008, -0.338882}, {0.465946, -0.381611}, {0.531245, -0.435391}, {0.561639, -0.461154}, {0.533497, -0.43849}, {0.468642, -0.384621}, {0.414223, -0.338637}, {0.400306, -0.326367}, {0.416338, -0.339949}, {0.428254, -0.351089}, {0.417374, -0.343294}, {0.399594, -0.328789}, {0.464844, -0.3824}, {0.560931, -0.462366}, {0.633766, -0.523808}, {0.634952, -0.525598}, {0.563632, -0.466039}, {0.467259, -0.384538}, {0.400536, -0.327602}, {0.38188, -0.311703}, {0.387949, -0.317652}, {0.388236, -0.319187}, {0.382124, -0.314681}, {0.489021, -0.403565}, {0.604161, -0.499775}, {0.715285, -0.593659}, {0.762404, -0.634212}, {0.717409, -0.596802}, {0.607089, -0.503536}, {0.491217, -0.405252}, {0.416324, -0.342052}, {0.387747, -0.318786}, {0.382927, -0.315842}, {0.387675, -0.320242}, {0.415449, -0.34289}, {0.644393, -0.53344}, {0.784142, -0.65123}, {0.876642, -0.730128}, {0.877801, -0.731866}, {0.786903, -0.655285}, {0.647201, -0.537342}, {0.515433, -0.426767}, {0.427312, -0.35388}, {0.387554, -0.321775}, {0.387507, -0.321928}, {0.426776, -0.353605}, {0.513737, -0.424754}, {0.823246, -0.682551}, {0.951828, -0.791418}, {1.00178, -0.83441}, {0.953937, -0.794564}, {0.82609, -0.687217}, {0.663244, -0.551235}, {0.514813, -0.428497}, {0.415598, -0.347231}, {0.381434, -0.319109}, {0.415698, -0.346224}, {0.514178, -0.42597}, {0.661235, -0.547082}, {0.984781, -0.815022}, {1.01025, -0.838096}, {0.985469, -0.818317}, {0.909201, -0.755153}, {0.787025, -0.654425}, {0.644702, -0.537847}, {0.52825, -0.442488}, {0.483731, -0.405004}, {0.530046, -0.440713}, {0.646902, -0.534216}, {0.788132, -0.649354}, {0.908919, -0.750002}, {1.01037, -0.83604}, {1.01118, -0.837953}, {0.98149, -0.813885}, {0.906876, -0.752516}, {0.785619, -0.652988}, {0.650901, -0.54244}, {0.561214, -0.468264}, {0.562294, -0.467636}, {0.653163, -0.540255}, {0.787078, -0.64889}, {0.906451, -0.747133}, {0.979986, -0.80913}, {0.98654, -0.816116}, {0.98265, -0.813695}, {0.954239, -0.790607}, {0.878967, -0.728661}, {0.762746, -0.632876}, {0.652418, -0.54172}, {0.607499, -0.503995}, {0.654281, -0.541388}, {0.764528, -0.631079}, {0.878747, -0.724656}, {0.952076, -0.785469}, {0.980567, -0.810022}, {0.912, -0.754273}, {0.909769, -0.752995}, {0.880516, -0.728879}, {0.809042, -0.669481}, {0.715417, -0.59168}, {0.648686, -0.536196}, {0.649766, -0.5368}, {0.717448, -0.592368}, {0.809641, -0.668138}, {0.878603, -0.7249}, {0.906776, -0.748411}, {0.910568, -0.752242}, {0.791359, -0.654261}, {0.789521, -0.65297}, {0.764816, -0.631996}, {0.715789, -0.590571}, {0.665251, -0.548223}, {0.644496, -0.531108}, {0.66716, -0.5502}, {0.717495, -0.591957}, {0.764264, -0.630378}, {0.786857, -0.648783}, {0.788898, -0.650666}, {0.78759, -0.650334}, {0.649246, -0.536372}, {0.654126, -0.540102}, {0.653381, -0.538512}, {0.648056, -0.533315}, {0.643744, -0.529732}, {0.644924, -0.531266}, {0.650434, -0.536217}, {0.654632, -0.539431}, {0.653068, -0.537504}, {0.647008, -0.53224}, {0.642242, -0.528879}, {0.64337, -0.530862}, {0.531406, -0.438506}, {0.562406, -0.463459}, {0.606572, -0.499316}, {0.647903, -0.533552}, {0.665775, -0.548963}, {0.650015, -0.536311}, {0.60901, -0.501905}, {0.563297, -0.462993}, {0.530511, -0.435111}, {0.515271, -0.422811}, {0.51211, -0.42136}, {0.516491, -0.426036}, {0.484781, -0.39971}, {0.561479, -0.462725}, {0.652189, -0.538158}, {0.715419, -0.591481}, {0.716504, -0.592977}, {0.654612, -0.541131}, {0.563513, -0.464147}, {0.48534, -0.398085}, {0.441579, -0.361759}, {0.426772, -0.350591}, {0.427162, -0.352141}, {0.442105, -0.364881}, {0.529563, -0.436884}, {0.651593, -0.538419}, {0.762769, -0.632033}, {0.808653, -0.671341}, {0.764284, -0.634396}, {0.653533, -0.540988}, {0.530723, -0.437448}, {0.441427, -0.362931}, {0.39759, -0.327517}, {0.38631, -0.319391}, {0.397944, -0.329317}, {0.441357, -0.364525}, {0.646085, -0.533756}, {0.78606, -0.651431}, {0.878182, -0.729949}, {0.878711, -0.731235}, {0.787196, -0.654323}, {0.646905, -0.536238}, {0.514485, -0.425654}, {0.425728, -0.352824}, {0.385668, -0.320849}, {0.385984, -0.321259}, {0.426281, -0.353325}, {0.51451, -0.424868}, {0.787758, -0.651546}, {0.906306, -0.752333}, {0.952243, -0.792423}, {0.906773, -0.754853}, {0.788039, -0.655204}, {0.640298, -0.531913}, {0.509624, -0.424236}, {0.425075, -0.355511}, {0.396859, -0.332418}, {0.426052, -0.354922}, {0.510788, -0.422509}, {0.640808, -0.528803}, {0.908923, -0.752185}, {0.980113, -0.813766}, {0.980349, -0.815309}, {0.909182, -0.756104}, {0.784639, -0.652386}, {0.639432, -0.532617}, {0.512855, -0.429188}, {0.439865, -0.369439}, {0.440679, -0.368711}, {0.514694, -0.426899}, {0.641037, -0.528785}, {0.785194, -0.647739}, {0.946748, -0.783834}, {0.946529, -0.785583}, {0.943249, -0.783444}, {0.908934, -0.755117}, {0.824279, -0.685704}, {0.712322, -0.594182}, {0.631914, -0.527946}, {0.6331, -0.527236}, {0.71521, -0.591859}, {0.827387, -0.681631}, {0.911075, -0.750006}, {0.944203, -0.779044}, {0.947184, -0.784971}, {0.962878, -0.799005}, {0.982007, -0.814874}, {0.954503, -0.791986}, {0.865704, -0.718843}, {0.762315, -0.63375}, {0.71698, -0.595846}, {0.763879, -0.63292}, {0.867535, -0.716331}, {0.955232, -0.78739}, {0.981437, -0.809425}, {0.962042, -0.795239}, {0.945708, -0.784084}, {0.983782, -0.815902}, {1.00546, -0.833419}, {0.962426, -0.797379}, {0.866852, -0.718308}, {0.787475, -0.652825}, {0.78806, -0.653039}, {0.867819, -0.718022}, {0.96225, -0.794931}, {1.00355, -0.828595}, {0.981294, -0.810865}, {0.944566, -0.781922}, {0.913382, -0.757119}, {0.957874, -0.793793}, {0.963784, -0.797984}, {0.907436, -0.750829}, {0.827225, -0.684541}, {0.790036, -0.654195}, {0.827928, -0.685662}, {0.907448, -0.750932}, {0.961898, -0.795203}, {0.954595, -0.788875}, {0.910793, -0.753218}, {0.887621, -0.735102}, {0.829546, -0.687252}, {0.869225, -0.719695}, {0.86813, -0.718096}, {0.827234, -0.684027}, {0.787186, -0.651334}, {0.787726, -0.652348}, {0.828031, -0.685654}, {0.86761, -0.717612}, {0.866847, -0.716087}, {0.826627, -0.68263}, {0.787418, -0.650923}, {0.788735, -0.653033}, {0.716677, -0.593447}, {0.764484, -0.632507}, {0.787625, -0.651319}, {0.789417, -0.653108}, {0.787396, -0.652028}, {0.790602, -0.654735}, {0.788655, -0.652241}, {0.764062, -0.63058}, {0.714914, -0.589188}, {0.663901, -0.54742}, {0.642708, -0.531102}, {0.665509, -0.550974}, {0.634351, -0.52513}, {0.717483, -0.593546}, {0.78737, -0.651674}, {0.827261, -0.685377}, {0.827992, -0.686135}, {0.788917, -0.652818}, {0.718532, -0.592914}, {0.634171, -0.521962}, {0.558888, -0.459903}, {0.51483, -0.424804}, {0.515329, -0.426581}, {0.559799, -0.46383}, {0.633949, -0.524656}, {0.763686, -0.632159}, {0.867462, -0.719031}, {0.90766, -0.75297}, {0.86835, -0.719775}, {0.76471, -0.632255}, {0.634321, -0.522887}, {0.517281, -0.426082}, {0.440303, -0.363863}, {0.414205, -0.343879}, {0.440819, -0.366376}, {0.517661, -0.429242}, {0.715567, -0.591908}, {0.867818, -0.718954}, {0.962938, -0.799185}, {0.962965, -0.799541}, {0.867722, -0.719489}, {0.715028, -0.5916}, {0.558272, -0.461703}, {0.439627, -0.365042}, {0.378583, -0.316396}, {0.379025, -0.317238}, {0.440662, -0.366905}, {0.559279, -0.463209}, {0.828, -0.684575}, {0.95621, -0.79272}, {1.00468, -0.834531}, {0.955213, -0.793591}, {0.826086, -0.685655}, {0.66216, -0.549645}, {0.512582, -0.427217}, {0.412397, -0.346391}, {0.37819, -0.318824}, {0.413906, -0.34669}, {0.515009, -0.427307}, {0.664666, -0.549073}, {0.911802, -0.753779}, {0.982307, -0.814784}, {0.98149, -0.815631}, {0.909447, -0.75593}, {0.784343, -0.652083}, {0.638684, -0.532487}, {0.511624, -0.429351}, {0.438347, -0.369906}, {0.439502, -0.369508}, {0.514655, -0.4281}, {0.642532, -0.530388}, {0.787852, -0.649535}, {0.94453, -0.781219}, {0.962011, -0.79828}, {0.94307, -0.783709}, {0.884037, -0.734886}, {0.783612, -0.652211}, {0.66033, -0.55168}, {0.555968, -0.466755}, {0.515608, -0.432876}, {0.558439, -0.465275}, {0.664239, -0.548746}, {0.787542, -0.648241}, {0.886935, -0.730943}};
    
    const std::vector<std::complex<double>> wfcr_2 = {{-1.04493, 0.615688}, {-1.06977, 0.631876}, {-1.11054, 0.657279}, {-1.09964, 0.652241}, {-1.01219, 0.601667}, {-0.900492, 0.535509}, {-0.851148, 0.504342}, {-0.905186, 0.532964}, {-1.01925, 0.597305}, {-1.10611, 0.647275}, {-1.11469, 0.65304}, {-1.07155, 0.629455}, {-1.06919, 0.632572}, {-1.13929, 0.676268}, {-1.20108, 0.714099}, {-1.17741, 0.70052}, {-1.07525, 0.639493}, {-0.983179, 0.583099}, {-0.986424, 0.581855}, {-1.0835, 0.635772}, {-1.1872, 0.694674}, {-1.20917, 0.707372}, {-1.14414, 0.670785}, {-1.07073, 0.630447}, {-1.1097, 0.659275}, {-1.20066, 0.715109}, {-1.23859, 0.737959}, {-1.17679, 0.700538}, {-1.06941, 0.635141}, {-1.01939, 0.602723}, {-1.07668, 0.633135}, {-1.18832, 0.695962}, {-1.25024, 0.730935}, {-1.20931, 0.707519}, {-1.11409, 0.654257}, {-1.06425, 0.628851}, {-1.09915, 0.655024}, {-1.17668, 0.701808}, {-1.17599, 0.700685}, {-1.09784, 0.652789}, {-1.02166, 0.605407}, {-1.02577, 0.604855}, {-1.1085, 0.650449}, {-1.18919, 0.69552}, {-1.1883, 0.694368}, {-1.10665, 0.648136}, {-1.02461, 0.603665}, {-1.02207, 0.606491}, {-1.01184, 0.603829}, {-1.07352, 0.639851}, {-1.06674, 0.63446}, {-1.01946, 0.604735}, {-0.995659, 0.588429}, {-1.02691, 0.604062}, {-1.0787, 0.631808}, {-1.08586, 0.634447}, {-1.02126, 0.597121}, {-0.928339, 0.545466}, {-0.883314, 0.523111}, {-0.923441, 0.550196}, {-0.899158, 0.535895}, {-0.979266, 0.581943}, {-1.01385, 0.601005}, {-1.02051, 0.603424}, {-1.02385, 0.603299}, {-1.02247, 0.599959}, {-0.98985, 0.578848}, {-0.908372, 0.530875}, {-0.800363, 0.469599}, {-0.72164, 0.426891}, {-0.719673, 0.428941}, {-0.794487, 0.474495}, {-0.847753, 0.503045}, {-0.979917, 0.579784}, {-1.06852, 0.631067}, {-1.10083, 0.648709}, {-1.07326, 0.630403}, {-0.987296, 0.577914}, {-0.854969, 0.499752}, {-0.706649, 0.41444}, {-0.587992, 0.347976}, {-0.541792, 0.323726}, {-0.585514, 0.350606}, {-0.70153, 0.418275}, {-0.899908, 0.531212}, {-1.07557, 0.634031}, {-1.17943, 0.694395}, {-1.18113, 0.693788}, {-1.07976, 0.632306}, {-0.904516, 0.528696}, {-0.704858, 0.413064}, {-0.53476, 0.316459}, {-0.437762, 0.262493}, {-0.437345, 0.263282}, {-0.533149, 0.31855}, {-0.701541, 0.415762}, {-1.01368, 0.596358}, {-1.18014, 0.694045}, {-1.24311, 0.730044}, {-1.18206, 0.692411}, {-1.01616, 0.593956}, {-0.796338, 0.466089}, {-0.585168, 0.345371}, {-0.43641, 0.261419}, {-0.383443, 0.231703}, {-0.436798, 0.261883}, {-0.584997, 0.346602}, {-0.794811, 0.468186}, {-1.10211, 0.647408}, {-1.20487, 0.707561}, {-1.20547, 0.706679}, {-1.10324, 0.645443}, {-0.9249, 0.54126}, {-0.718091, 0.422601}, {-0.538746, 0.320817}, {-0.435585, 0.262183}, {-0.436396, 0.261854}, {-0.540445, 0.320361}, {-0.719187, 0.423026}, {-0.924581, 0.542895}, {-1.113, 0.653554}, {-1.14286, 0.670879}, {-1.11329, 0.652757}, {-1.02355, 0.60014}, {-0.881332, 0.518509}, {-0.717047, 0.425022}, {-0.583374, 0.348633}, {-0.532489, 0.318429}, {-0.585722, 0.347216}, {-0.720151, 0.423379}, {-0.883396, 0.517889}, {-1.02402, 0.600711}, {-1.0714, 0.629639}, {-1.07118, 0.629932}, {-1.06498, 0.626702}, {-1.02219, 0.60281}, {-0.922587, 0.54634}, {-0.793452, 0.472108}, {-0.701665, 0.418007}, {-0.703508, 0.416851}, {-0.797895, 0.469267}, {-0.927254, 0.543205}, {-1.02524, 0.600537}, {-1.06618, 0.625584}, {-1.07066, 0.632364}, {-1.14196, 0.676121}, {-1.20383, 0.713861}, {-1.17911, 0.700059}, {-1.07535, 0.638753}, {-0.981919, 0.582124}, {-0.984444, 0.580758}, {-1.0813, 0.634679}, {-1.18499, 0.693687}, {-1.20712, 0.706558}, {-1.14271, 0.670185}, {-1.07059, 0.630066}, {-1.14113, 0.677179}, {-1.24972, 0.743092}, {-1.30064, 0.77366}, {-1.23971, 0.737078}, {-1.12538, 0.667908}, {-1.07096, 0.633052}, {-1.13158, 0.665463}, {-1.24888, 0.731698}, {-1.30874, 0.765641}, {-1.25458, 0.734583}, {-1.14303, 0.671605}, {-1.08667, 0.641951}, {-1.20279, 0.716023}, {-1.30017, 0.774582}, {-1.29903, 0.773363}, {-1.20048, 0.713583}, {-1.10409, 0.654302}, {-1.10804, 0.65355}, {-1.21047, 0.710638}, {-1.31077, 0.767229}, {-1.3097, 0.766012}, {-1.20837, 0.708204}, {-1.10709, 0.652335}, {-1.10534, 0.655524}, {-1.17844, 0.702482}, {-1.23876, 0.738047}, {-1.19943, 0.713613}, {-1.10865, 0.658222}, {-1.06494, 0.630025}, {-1.11649, 0.657392}, {-1.21185, 0.710495}, {-1.25126, 0.731794}, {-1.18768, 0.694769}, {-1.0758, 0.631837}, {-1.01978, 0.603169}, {-1.07114, 0.637261}, {-1.07458, 0.640304}, {-1.12296, 0.667999}, {-1.10069, 0.653581}, {-1.06231, 0.629345}, {-1.06618, 0.629337}, {-1.11071, 0.652682}, {-1.13538, 0.664695}, {-1.08553, 0.634604}, {-0.975045, 0.571348}, {-0.882132, 0.520308}, {-0.879736, 0.522713}, {-0.967961, 0.577041}, {-0.979676, 0.582276}, {-1.06587, 0.632036}, {-1.10142, 0.651953}, {-1.11062, 0.655856}, {-1.1075, 0.65173}, {-1.07562, 0.630549}, {-0.989725, 0.578822}, {-0.856301, 0.501377}, {-0.728391, 0.429099}, {-0.674072, 0.40052}, {-0.724417, 0.43233}, {-0.848649, 0.505872}, {-0.979843, 0.579951}, {-1.12384, 0.663901}, {-1.20145, 0.708602}, {-1.20388, 0.708299}, {-1.13006, 0.662763}, {-0.987367, 0.57766}, {-0.802035, 0.469571}, {-0.624138, 0.367771}, {-0.513752, 0.306069}, {-0.512452, 0.307222}, {-0.620172, 0.37061}, {-0.795639, 0.472713}, {-1.07506, 0.633833}, {-1.2403, 0.730333}, {-1.3018, 0.765187}, {-1.24365, 0.729105}, {-1.08006, 0.631723}, {-0.852938, 0.499052}, {-0.622565, 0.366591}, {-0.45203, 0.269866}, {-0.388963, 0.234878}, {-0.450838, 0.27105}, {-0.619713, 0.368657}, {-0.848402, 0.501463}, {-1.17916, 0.693359}, {-1.30199, 0.764703}, {-1.30342, 0.763947}, {-1.18252, 0.691534}, {-0.97088, 0.56762}, {-0.724971, 0.42592}, {-0.511241, 0.304164}, {-0.387754, 0.234222}, {-0.38784, 0.234322}, {-0.510919, 0.304677}, {-0.723214, 0.42719}, {-0.967602, 0.569545}, {-1.20358, 0.706572}, {-1.25131, 0.733695}, {-1.20587, 0.705777}, {-1.07361, 0.628004}, {-0.879535, 0.516072}, {-0.671022, 0.397126}, {-0.509763, 0.305332}, {-0.449406, 0.270429}, {-0.510742, 0.304617}, {-0.671518, 0.396441}, {-0.878216, 0.516153}, {-1.07083, 0.628829}, {-1.14175, 0.670052}, {-1.14289, 0.67034}, {-1.10746, 0.649425}, {-1.01958, 0.599055}, {-0.878265, 0.518646}, {-0.722197, 0.429517}, {-0.618564, 0.369407}, {-0.619678, 0.368504}, {-0.724415, 0.427276}, {-0.879343, 0.516117}, {-1.01841, 0.597142}, {-1.10517, 0.648415}, {-1.07089, 0.629711}, {-1.08784, 0.640443}, {-1.10671, 0.65259}, {-1.07164, 0.63361}, {-0.967419, 0.573961}, {-0.848169, 0.504282}, {-0.796655, 0.472531}, {-0.851287, 0.501844}, {-0.971227, 0.56971}, {-1.07353, 0.628657}, {-1.10617, 0.648262}, {-1.08661, 0.637928}, {-1.11352, 0.659089}, {-1.20587, 0.714958}, {-1.24309, 0.737564}, {-1.17881, 0.699564}, {-1.06849, 0.633478}, {-1.0163, 0.600639}, {-1.0726, 0.63113}, {-1.18407, 0.694443}, {-1.24624, 0.729989}, {-1.20607, 0.706959}, {-1.11256, 0.653862}, {-1.06537, 0.62855}, {-1.20489, 0.715789}, {-1.30261, 0.774429}, {-1.30082, 0.773075}, {-1.20094, 0.712933}, {-1.10316, 0.653288}, {-1.10616, 0.652442}, {-1.2082, 0.709777}, {-1.30851, 0.766763}, {-1.30772, 0.765808}, {-1.20699, 0.708014}, {-1.10674, 0.652034}, {-1.10632, 0.655189}, {-1.24196, 0.738968}, {-1.30045, 0.773641}, {-1.24726, 0.741281}, {-1.13861, 0.675603}, {-1.08631, 0.642631}, {-1.14508, 0.674583}, {-1.25718, 0.737854}, {-1.30991, 0.767062}, {-1.24841, 0.731}, {-1.13115, 0.664375}, {-1.07224, 0.633464}, {-1.12816, 0.669934}, {-1.17821, 0.700917}, {-1.20023, 0.71342}, {-1.13771, 0.675491}, {-1.06857, 0.633331}, {-1.07204, 0.633353}, {-1.14667, 0.674633}, {-1.21128, 0.710071}, {-1.18787, 0.695054}, {-1.08323, 0.634527}, {-0.986582, 0.580744}, {-0.984499, 0.583235}, {-1.07704, 0.640412}, {-1.06784, 0.634178}, {-1.10102, 0.653052}, {-1.08316, 0.641724}, {-1.0696, 0.632519}, {-1.08898, 0.641911}, {-1.11056, 0.652098}, {-1.07799, 0.631063}, {-0.974995, 0.570435}, {-0.854717, 0.501743}, {-0.799953, 0.472682}, {-0.850384, 0.505045}, {-0.966944, 0.574877}, {-1.01415, 0.600477}, {-1.10138, 0.651245}, {-1.13891, 0.672627}, {-1.14134, 0.672702}, {-1.1078, 0.650989}, {-1.02241, 0.599037}, {-0.883392, 0.516958}, {-0.728201, 0.427206}, {-0.623299, 0.368098}, {-0.621454, 0.369282}, {-0.722947, 0.429979}, {-0.875709, 0.519656}, {-1.06812, 0.630338}, {-1.20095, 0.707869}, {-1.24904, 0.735132}, {-1.20449, 0.707355}, {-1.07385, 0.629166}, {-0.881776, 0.516164}, {-0.674754, 0.396097}, {-0.513634, 0.303952}, {-0.45194, 0.269769}, {-0.511184, 0.305241}, {-0.670112, 0.398045}, {-0.875788, 0.517966}, {-1.17817, 0.693416}, {-1.30084, 0.764601}, {-1.30242, 0.7641}, {-1.18214, 0.69212}, {-0.971424, 0.568318}, {-0.726289, 0.426163}, {-0.512779, 0.303672}, {-0.388904, 0.233297}, {-0.3883, 0.233598}, {-0.510769, 0.304568}, {-0.722696, 0.427561}, {-0.966851, 0.569916}, {-1.24109, 0.728966}, {-1.3023, 0.763707}, {-1.24407, 0.728168}, {-1.08036, 0.631761}, {-0.852769, 0.499772}, {-0.621637, 0.367132}, {-0.45052, 0.269493}, {-0.387539, 0.233563}, {-0.450217, 0.269405}, {-0.620134, 0.367305}, {-0.849488, 0.500483}, {-1.07618, 0.63282}, {-1.20341, 0.705967}, {-1.20521, 0.706043}, {-1.13058, 0.661754}, {-0.986483, 0.578209}, {-0.799278, 0.470884}, {-0.619924, 0.36839}, {-0.50952, 0.304951}, {-0.509893, 0.304472}, {-0.62015, 0.367231}, {-0.797705, 0.469649}, {-0.982737, 0.577377}, {-1.12646, 0.661401}, {-1.11236, 0.652928}, {-1.10779, 0.650208}, {-1.07401, 0.631043}, {-0.985667, 0.580886}, {-0.850086, 0.503365}, {-0.721652, 0.429122}, {-0.669176, 0.397736}, {-0.723064, 0.427427}, {-0.850822, 0.500367}, {-0.983821, 0.57733}, {-1.07008, 0.627881}, {-1.10454, 0.648347}, {-1.06606, 0.627901}, {-1.10813, 0.653696}, {-1.13019, 0.667865}, {-1.07805, 0.638393}, {-0.966779, 0.573489}, {-0.875544, 0.519073}, {-0.877057, 0.517943}, {-0.969825, 0.57009}, {-1.07964, 0.633012}, {-1.1288, 0.661633}, {-1.10523, 0.648594}, {-1.0646, 0.625919}, {-1.10452, 0.654055}, {-1.18302, 0.701075}, {-1.18079, 0.699708}, {-1.09935, 0.651024}, {-1.01976, 0.602869}, {-1.0216, 0.602244}, {-1.10343, 0.648611}, {-1.18411, 0.694744}, {-1.18376, 0.694186}, {-1.10341, 0.647791}, {-1.02382, 0.602792}, {-1.02457, 0.605343}, {-1.182, 0.701323}, {-1.24273, 0.737311}, {-1.20227, 0.712744}, {-1.10938, 0.656802}, {-1.0635, 0.628242}, {-1.11361, 0.655887}, {-1.20837, 0.709731}, {-1.24781, 0.731578}, {-1.18471, 0.694405}, {-1.07387, 0.630771}, {-1.01956, 0.601495}, {-1.07302, 0.63559}, {-1.17998, 0.700155}, {-1.20233, 0.713009}, {-1.13938, 0.675057}, {-1.06929, 0.6327}, {-1.07172, 0.632702}, {-1.1456, 0.674243}, {-1.20984, 0.709956}, {-1.18637, 0.694859}, {-1.08187, 0.633818}, {-0.985647, 0.579423}, {-0.984349, 0.581663}, {-1.07791, 0.639116}, {-1.0996, 0.651507}, {-1.10962, 0.65697}, {-1.06894, 0.632458}, {-1.04524, 0.617755}, {-1.07315, 0.632808}, {-1.11669, 0.656378}, {-1.10742, 0.648933}, {-1.01953, 0.596458}, {-0.905076, 0.530223}, {-0.851508, 0.501191}, {-0.901462, 0.533148}, {-1.01305, 0.600326}, {-1.0203, 0.60305}, {-1.06264, 0.627693}, {-1.06956, 0.631499}, {-1.07127, 0.631833}, {-1.06741, 0.628131}, {-1.02698, 0.602525}, {-0.928732, 0.543495}, {-0.79891, 0.46733}, {-0.704322, 0.413299}, {-0.702406, 0.414261}, {-0.793746, 0.469485}, {-0.921849, 0.545315}, {-1.02066, 0.601756}, {-1.11019, 0.654216}, {-1.14079, 0.67186}, {-1.11263, 0.654448}, {-1.02511, 0.601767}, {-0.885157, 0.518572}, {-0.7219, 0.42267}, {-0.587234, 0.344633}, {-0.533765, 0.314734}, {-0.584189, 0.345469}, {-0.716846, 0.423727}, {-0.879668, 0.519176}, {-1.09999, 0.647331}, {-1.20253, 0.707144}, {-1.20356, 0.707013}, {-1.10282, 0.646961}, {-0.926639, 0.543028}, {-0.721512, 0.423028}, {-0.542383, 0.319125}, {-0.437928, 0.259211}, {-0.436833, 0.259377}, {-0.539418, 0.319564}, {-0.717516, 0.423597}, {-0.922708, 0.543563}, {-1.17912, 0.692928}, {-1.24174, 0.728813}, {-1.18134, 0.692403}, {-1.01687, 0.595516}, {-0.798379, 0.468055}, {-0.587552, 0.346047}, {-0.438091, 0.260123}, {-0.384093, 0.229365}, {-0.43687, 0.260139}, {-0.585073, 0.346261}, {-0.794943, 0.468596}, {-1.0134, 0.59624}, {-1.17953, 0.69234}, {-1.18111, 0.692221}, {-1.08034, 0.632519}, {-0.905602, 0.530613}, {-0.705634, 0.41509}, {-0.534527, 0.316801}, {-0.436732, 0.260698}, {-0.436544, 0.260534}, {-0.533502, 0.316457}, {-0.703025, 0.414865}, {-0.901596, 0.53067}, {-1.07652, 0.632739}, {-1.10169, 0.646366}, {-1.07386, 0.629462}, {-0.987618, 0.579122}, {-0.854223, 0.502221}, {-0.704195, 0.416081}, {-0.584345, 0.34711}, {-0.538627, 0.320402}, {-0.584518, 0.346398}, {-0.703109, 0.414803}, {-0.850786, 0.500677}, {-0.982751, 0.577725}, {-1.07026, 0.628631}, {-1.02438, 0.601959}, {-1.02192, 0.600836}, {-0.98774, 0.581656}, {-0.904114, 0.533809}, {-0.79445, 0.470359}, {-0.716003, 0.4243}, {-0.716668, 0.423722}, {-0.79527, 0.468538}, {-0.902875, 0.530746}, {-0.983777, 0.577929}, {-1.01729, 0.597687}, {-1.02232, 0.600718}, {-1.02563, 0.605009}, {-1.07541, 0.635206}, {-1.0804, 0.638865}, {-1.01412, 0.600199}, {-0.92128, 0.545227}, {-0.878868, 0.519145}, {-0.923384, 0.543748}, {-1.01594, 0.596785}, {-1.07964, 0.63358}, {-1.07226, 0.629465}, {-1.02276, 0.601203}, {-0.996484, 0.586831}, {-1.01764, 0.601283}, {-1.08006, 0.638125}, {-1.07164, 0.632736}, {-1.02117, 0.602376}, {-0.994184, 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{-0.488075, 0.286356}, {-0.43998, 0.258676}, {-0.391587, 0.230699}, {-0.390463, 0.230296}, {-0.436875, 0.25772}, {-0.483753, 0.285394}, {-0.483935, 0.28553}, {-0.385785, 0.224752}, {-0.392231, 0.227792}, {-0.455032, 0.264624}, {-0.536732, 0.313147}, {-0.57402, 0.335814}, {-0.536115, 0.314239}, {-0.453803, 0.266436}, {-0.390558, 0.229759}, {-0.384116, 0.226347}, {-0.415576, 0.244881}, {-0.435087, 0.255852}, {-0.416633, 0.244006}, {-0.440106, 0.254204}, {-0.515621, 0.298598}, {-0.624637, 0.363576}, {-0.705867, 0.412455}, {-0.705416, 0.413}, {-0.623349, 0.365204}, {-0.513732, 0.301146}, {-0.438066, 0.257127}, {-0.416682, 0.244805}, {-0.423233, 0.248207}, {-0.423834, 0.247287}, {-0.41827, 0.242427}, {-0.589561, 0.341428}, {-0.729069, 0.424294}, {-0.855077, 0.49969}, {-0.905735, 0.530443}, {-0.853543, 0.500136}, {-0.726651, 0.425682}, {-0.587148, 0.344}, {-0.486337, 0.285155}, {-0.437067, 0.256122}, {-0.424451, 0.24771}, {-0.437945, 0.253996}, {-0.488099, 0.282088}, {-0.801556, 0.467116}, {-0.97579, 0.570585}, {-1.08388, 0.635122}, {-1.08247, 0.634772}, {-0.972363, 0.570176}, {-0.797905, 0.467856}, {-0.620246, 0.363894}, {-0.486552, 0.285597}, {-0.417809, 0.244731}, {-0.418033, 0.243582}, {-0.487599, 0.283007}, {-0.622706, 0.361654}, {-1.10965, 0.65101}, {-1.21079, 0.711131}, {-1.20826, 0.710059}, {-1.10336, 0.648844}, {-0.924243, 0.544416}, {-0.7183, 0.424519}, {-0.540084, 0.320516}, {-0.43731, 0.259747}, {-0.438113, 0.258732}, {-0.54291, 0.318508}, {-0.723657, 0.423584}, {-0.93133, 0.545568}, {-1.21182, 0.711241}, {-1.256, 0.73798}, {-1.20609, 0.709803}, {-1.07111, 0.631903}, {-0.877161, 0.519296}, {-0.670496, 0.398656}, {-0.510842, 0.304668}, {-0.451047, 0.268372}, {-0.512848, 0.302991}, {-0.675332, 0.396892}, {-0.884895, 0.519056}, {-1.07967, 0.633252}, {-1.20972, 0.710039}, {-1.20645, 0.709786}, {-1.12718, 0.66538}, {-0.981426, 0.581637}, {-0.795717, 0.473475}, {-0.618989, 0.369437}, {-0.510313, 0.304479}, {-0.511346, 0.30353}, {-0.62263, 0.367283}, {-0.802631, 0.471574}, {-0.990581, 0.580938}, {-1.1353, 0.66563}, {-1.10424, 0.649018}, {-1.07113, 0.632162}, {-0.981394, 0.581887}, {-0.848011, 0.504798}, {-0.700556, 0.417972}, {-0.583449, 0.347961}, {-0.539142, 0.320392}, {-0.585668, 0.346231}, {-0.705652, 0.415267}, {-0.855872, 0.502135}, {-0.989913, 0.579978}, {-1.07677, 0.631228}, {-0.924009, 0.545039}, {-0.876862, 0.519905}, {-0.796041, 0.473948}, {-0.701154, 0.418152}, {-0.617103, 0.367554}, {-0.567934, 0.337124}, {-0.56887, 0.336345}, {-0.620183, 0.36534}, {-0.706598, 0.414928}, {-0.802914, 0.470492}, {-0.8828, 0.517229}, {-0.926374, 0.544028}, {-0.717393, 0.425178}, {-0.670585, 0.399036}, {-0.620299, 0.369539}, {-0.585078, 0.347812}, {-0.568818, 0.33689}, {-0.565262, 0.333697}, {-0.570292, 0.335869}, {-0.588104, 0.345608}, {-0.624537, 0.366309}, {-0.674901, 0.395645}, {-0.720158, 0.42297}, {-0.737567, 0.434958}, {-0.539442, 0.320262}, {-0.511871, 0.303883}, {-0.512536, 0.303441}, {-0.541221, 0.31934}, {-0.569817, 0.335458}, {-0.570279, 0.335327}, {-0.542523, 0.318698}, {-0.514408, 0.301887}, {-0.51385, 0.301549}, {-0.540959, 0.318058}, {-0.56805, 0.335129}, {-0.56748, 0.33604}, {-0.43746, 0.257892}, {-0.452672, 0.265945}, {-0.51339, 0.301114}, {-0.586792, 0.344189}, {-0.619905, 0.363743}, {-0.587106, 0.344438}, {-0.513736, 0.301232}, {-0.452759, 0.26559}, {-0.437264, 0.257159}, {-0.454851, 0.268413}, {-0.467503, 0.276449}, {-0.455078, 0.269016}, {-0.438703, 0.255565}, {-0.513974, 0.299445}, {-0.623115, 0.364126}, {-0.704706, 0.412806}, {-0.704563, 0.413009}, {-0.622574, 0.364719}, {-0.512886, 0.300346}, {-0.437213, 0.25657}, {-0.415979, 0.245083}, {-0.422697, 0.249493}, {-0.423244, 0.249186}, {-0.417325, 0.244282}, {-0.543151, 0.315196}, {-0.675047, 0.393466}, {-0.801031, 0.46879}, {-0.853036, 0.500088}, {-0.799929, 0.468793}, {-0.67305, 0.394009}, {-0.540705, 0.316669}, {-0.455555, 0.267677}, {-0.423304, 0.249443}, {-0.418287, 0.245957}, {-0.424648, 0.247973}, {-0.457794, 0.265668}, {-0.723195, 0.421314}, {-0.883309, 0.516813}, {-0.987705, 0.579312}, {-0.986577, 0.578825}, {-0.880376, 0.516046}, {-0.719542, 0.421598}, {-0.569005, 0.334029}, {-0.468952, 0.27624}, {-0.424209, 0.249912}, {-0.42493, 0.248861}, {-0.47107, 0.273931}, {-0.572251, 0.332207}, {-0.930661, 0.544704}, {-1.07783, 0.632375}, {-1.13263, 0.665132}, {-1.07442, 0.630815}, {-0.925447, 0.543264}, {-0.738253, 0.433963}, {-0.568962, 0.335582}, {-0.456279, 0.269836}, {-0.417773, 0.246317}, {-0.457798, 0.267946}, {-0.572286, 0.333571}, {-0.743182, 0.433634}, {-1.11706, 0.656463}, {-1.14464, 0.673436}, {-1.11251, 0.6551}, {-1.02147, 0.602427}, {-0.879756, 0.520502}, {-0.717022, 0.426186}, {-0.584683, 0.348691}, {-0.534343, 0.317812}, {-0.587821, 0.346913}, {-0.722973, 0.424257}, {-0.887441, 0.520088}, {-1.02882, 0.603639}, {-1.14503, 0.673245}, {-1.14215, 0.67305}, {-1.10347, 0.651965}, {-1.01495, 0.60155}, {-0.875566, 0.520781}, {-0.722298, 0.430863}, {-0.620614, 0.369979}, {-0.622518, 0.368974}, {-0.727856, 0.428557}, {-0.884004, 0.518671}, {-1.02437, 0.60064}, {-1.11098, 0.65206}, {-1.11276, 0.655192}, {-1.10335, 0.652221}, {-1.06692, 0.633092}, {-0.979481, 0.583027}, {-0.847324, 0.505374}, {-0.722435, 0.430777}, {-0.672011, 0.399129}, {-0.726718, 0.428976}, {-0.855318, 0.502484}, {-0.989619, 0.580052}, {-1.07648, 0.630829}, {-1.10921, 0.651047}, {-1.02138, 0.603333}, {-1.01464, 0.602294}, {-0.97934, 0.583296}, {-0.898166, 0.535699}, {-0.792642, 0.472433}, {-0.717578, 0.426351}, {-0.719855, 0.425531}, {-0.79909, 0.470018}, {-0.907516, 0.531987}, {-0.989315, 0.579107}, {-1.02234, 0.598925}, {-1.02428, 0.602035}, {-0.879469, 0.521897}, {-0.875239, 0.521424}, {-0.847141, 0.505252}, {-0.792492, 0.47204}, {-0.736017, 0.437054}, {-0.713142, 0.421708}, {-0.740207, 0.435787}, {-0.799879, 0.469154}, {-0.855876, 0.500826}, {-0.882982, 0.516646}, {-0.884015, 0.518738}, {-0.878991, 0.518584}, {-0.716712, 0.426845}, {-0.721954, 0.430288}, {-0.721974, 0.429445}, {-0.716853, 0.425024}, {-0.712423, 0.420965}, {-0.714245, 0.420629}, {-0.721741, 0.423623}, {-0.728444, 0.426391}, {-0.728185, 0.425916}, {-0.721121, 0.422809}, {-0.713604, 0.420658}, {-0.712023, 0.422312}, {-0.584246, 0.347455}, {-0.619863, 0.367543}, {-0.670681, 0.396429}, {-0.717902, 0.423371}, {-0.738138, 0.43445}, {-0.720411, 0.423002}, {-0.674652, 0.395097}, {-0.623858, 0.36491}, {-0.587194, 0.344227}, {-0.569305, 0.335587}, {-0.564246, 0.334606}, {-0.567819, 0.337851}, {-0.533451, 0.314664}, {-0.620866, 0.365225}, {-0.724074, 0.425719}, {-0.795665, 0.467732}, {-0.796426, 0.467626}, {-0.725876, 0.425255}, {-0.622675, 0.364176}, {-0.534507, 0.313134}, {-0.485271, 0.285983}, {-0.468406, 0.277793}, {-0.468399, 0.278379}, {-0.484976, 0.287408}, {-0.58629, 0.34312}, {-0.725238, 0.424946}, {-0.851612, 0.499892}, {-0.903225, 0.530304}, {-0.851867, 0.499358}, {-0.725244, 0.424248}, {-0.585612, 0.342671}, {-0.484763, 0.28516}, {-0.435776, 0.258224}, {-0.42345, 0.251509}, {-0.436708, 0.258139}, {-0.485944, 0.285239}, {-0.721074, 0.421389}, {-0.881011, 0.516467}, {-0.98582, 0.578833}, {-0.985376, 0.578198}, {-0.87965, 0.515168}, {-0.718866, 0.42065}, {-0.568146, 0.333548}, {-0.468024, 0.276761}, {-0.423433, 0.251491}, {-0.42428, 0.250931}, {-0.470191, 0.275668}, {-0.570757, 0.33309}, {-0.885804, 0.518833}, {-1.0219, 0.600042}, {-1.07367, 0.630722}, {-1.0198, 0.598373}, {-0.882177, 0.517091}, {-0.712562, 0.418363}, {-0.563839, 0.332924}, {-0.468411, 0.27824}, {-0.436962, 0.259253}, {-0.470481, 0.276772}, {-0.567437, 0.33153}, {-0.716733, 0.418563}, {-1.02799, 0.603482}, {-1.10961, 0.652286}, {-1.10785, 0.651229}, {-1.02335, 0.60134}, {-0.878572, 0.516856}, {-0.711954, 0.420536}, {-0.567972, 0.337443}, {-0.485389, 0.288975}, {-0.486686, 0.287995}, {-0.571684, 0.335511}, {-0.717425, 0.419661}, {-0.884505, 0.518018}, {-1.07232, 0.630852}, {-1.07056, 0.630918}, {-1.0632, 0.627608}, {-1.0203, 0.60372}, {-0.92158, 0.547172}, {-0.793655, 0.472723}, {-0.702726, 0.41841}, {-0.704923, 0.417269}, {-0.799497, 0.469998}, {-0.929183, 0.544382}, {-1.02747, 0.602005}, {-1.06817, 0.627034}, {-1.07036, 0.631004}, {-1.0844, 0.641468}, {-1.10189, 0.653626}, {-1.06773, 0.634808}, {-0.965988, 0.575278}, {-0.849279, 0.505626}, {-0.799301, 0.473928}, {-0.85452, 0.503455}, {-0.974792, 0.571657}, {-1.07746, 0.630846}, {-1.10995, 0.650385}, {-1.08889, 0.639677}, {-1.06271, 0.628629}, {-1.10156, 0.654342}, {-1.12316, 0.668716}, {-1.07351, 0.639698}, {-0.966127, 0.575326}, {-0.878149, 0.521311}, {-0.88134, 0.520328}, {-0.974653, 0.57238}, {-1.08471, 0.635055}, {-1.13383, 0.663357}, {-1.10905, 0.649966}, {-1.06538, 0.626932}, {-1.01991, 0.605809}, {-1.06726, 0.636002}, {-1.07311, 0.639927}, {-1.01044, 0.601935}, {-0.921916, 0.54774}, {-0.882583, 0.522}, {-0.928425, 0.546209}, {-1.02128, 0.598346}, {-1.08496, 0.634306}, {-1.07694, 0.629854}, {-1.02525, 0.601719}, {-0.995061, 0.587574}, {-0.92145, 0.549256}, {-0.965175, 0.575824}, {-0.964778, 0.574777}, {-0.920679, 0.547078}, {-0.878039, 0.519858}, {-0.881313, 0.519436}, {-0.929312, 0.545241}, {-0.97583, 0.570653}, {-0.975371, 0.569835}, {-0.928372, 0.54369}, {-0.88077, 0.518931}, {-0.878351, 0.521218}, {-0.793243, 0.473276}, {-0.847351, 0.504481}, {-0.875002, 0.519428}, {-0.879228, 0.520414}, {-0.879135, 0.518658}, {-0.884544, 0.51981}, {-0.883567, 0.517258}, {-0.856226, 0.500205}, {-0.800052, 0.468039}, {-0.740536, 0.435682}, {-0.713862, 0.423286}, {-0.736976, 0.439354}, {-0.701142, 0.416783}, {-0.795548, 0.471179}, {-0.876019, 0.517617}, {-0.922854, 0.544232}, {-0.924957, 0.544023}, {-0.881358, 0.516598}, {-0.801881, 0.468728}, {-0.706368, 0.413108}, {-0.620816, 0.365091}, {-0.570009, 0.33812}, {-0.569014, 0.339552}, {-0.617693, 0.368557}, {-0.701801, 0.414316}, {-0.849151, 0.500379}, {-0.967938, 0.570028}, {-1.01459, 0.596709}, {-0.970387, 0.569212}, {-0.852688, 0.498733}, {-0.704774, 0.412047}, {-0.572499, 0.336444}, {-0.48579, 0.288353}, {-0.456139, 0.272769}, {-0.485267, 0.289806}, {-0.570888, 0.338727}, {-0.795518, 0.467383}, {-0.969111, 0.569707}, {-1.07832, 0.63391}, {-1.07892, 0.633197}, {-0.97037, 0.567968}, {-0.796351, 0.465497}, {-0.618458, 0.36283}, {-0.484734, 0.28727}, {-0.416415, 0.249265}, {-0.416842, 0.249412}, {-0.485523, 0.287876}, {-0.61865, 0.364149}, {-0.92568, 0.54321}, {-1.07309, 0.6305}, {-1.12941, 0.66324}, {-1.07294, 0.628773}, {-0.924866, 0.541062}, {-0.737495, 0.43222}, {-0.567629, 0.335295}, {-0.45474, 0.271532}, {-0.41644, 0.249404}, {-0.456398, 0.270956}, {-0.56995, 0.33514}, {-0.739305, 0.433371}, {-1.02543, 0.602078}, {-1.10773, 0.650928}, {-1.10713, 0.649962}, {-1.02353, 0.600065}, {-0.878905, 0.515649}, {-0.711811, 0.419746}, {-0.567276, 0.337426}, {-0.484466, 0.289703}, {-0.485758, 0.288954}, {-0.570555, 0.336006}, {-0.715695, 0.419294}, {-0.8821, 0.516913}, {-1.06758, 0.627366}, {-1.08843, 0.640068}, {-1.06526, 0.626339}, {-0.994871, 0.585351}, {-0.877686, 0.518046}, {-0.736047, 0.436923}, {-0.617298, 0.368225}, {-0.571703, 0.340401}, {-0.620535, 0.36644}, {-0.741319, 0.434861}, {-0.883244, 0.517288}, {-0.999225, 0.5861}};

    std::vector<std::complex<double>> wfcr_another_spin_2 = {
      {-0.000850659, 0.00221376}, {-0.000824667, 0.00233258}, {-0.00025408, 0.00206122}, {0.000478631, 0.00162836}, {0.000857409, 0.00122164}, {0.000690617, 0.000865747}, {0.000252532, 0.000500086}, {-1.97358e-05, 0.000150978}, {3.69117e-05, -3.74248e-06}, {0.000177712, 0.000233336}, {4.52095e-05, 0.00087035}, {-0.000415234, 0.00165232}, {5.94142e-05, 0.00267949}, {0.00105166, 0.00268062}, {0.00175924, 0.00262548}, {0.00167774, 0.00273249}, {0.000846263, 0.00287114}, {-0.0001803, 0.00269879}, {-0.000812061, 0.00205795}, {-0.000897011, 0.00122219}, {-0.000744479, 0.000720935}, {-0.000710161, 0.000892154}, {-0.000785981, 0.00158813}, {-0.00061953, 0.00231689}, {0.0014205, 0.00323172}, {0.00245194, 0.00326343}, {0.00254339, 0.00338285}, {0.00164597, 0.00365304}, {0.000352848, 0.00378036}, {-0.000612417, 0.00341444}, {-0.0009668, 0.00255828}, {-0.000968044, 0.00166251}, {-0.000992893, 0.00128342}, {-0.00105907, 0.00161763}, {-0.000796136, 0.00235437}, {0.000102526, 0.00297995}, {0.00151406, 0.00372578}, {0.00180885, 0.00385756}, {0.00133698, 0.00394148}, {0.000458959, 0.00402696}, {-0.000265637, 0.00393919}, {-0.00055238, 0.00347791}, {-0.000558492, 0.00269481}, {-0.000606658, 0.00195161}, {-0.000774242, 0.00167125}, {-0.000782284, 0.00200075}, {-0.000304306, 0.00269993}, {0.000621885, 0.00335765}, {-0.000255288, 0.00377188}, {-0.000578666, 0.00396859}, {-0.000801606, 0.00387581}, {-0.0007455, 0.00376145}, {-0.000428125, 0.00363368}, {-5.61308e-05, 0.00326119}, {0.000151935, 0.00250074}, {0.000143064, 0.00157857}, {4.12433e-05, 0.00100732}, {-7.37259e-06, 0.00118311}, {7.50117e-06, 0.00203634}, {-3.97326e-05, 0.00307286}, {-0.00262995, 0.00309697}, {-0.00275212, 0.00329879}, {-0.00201295, 0.00311649}, {-0.000892036, 0.00305148}, {9.92763e-05, 0.00304081}, {0.000765938, 0.00255441}, {0.00121087, 0.00127004}, {0.00152584, -0.000387784}, {0.00155589, -0.00144191}, {0.0010114, -0.00115733}, {-0.000172708, 0.000309335}, {-0.00160859, 0.00203217}, {-0.00361979, 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{-0.000753044, 0.00198762}, {-0.000877387, 0.00210716}, {-0.000388019, 0.0022298}, {0.000247307, 0.00273539}, {0.000477011, 0.00351262}, {0.000194824, 0.00396464}, {-0.000187014, 0.00355761}, {-0.000184846, 0.00237644}, {0.000245467, 0.00112622}, {0.000651997, 0.000554658}, {0.000544468, 0.000839059}, {-9.30268e-05, 0.00151463}, {-0.000403431, 0.00243266}, {0.000286467, 0.00262747}, {0.00100229, 0.00314263}, {0.00127252, 0.00408365}, {0.00100513, 0.00499286}, {0.000531865, 0.00517755}, {0.000259253, 0.00434466}, {0.000279959, 0.0029229}, {0.000328336, 0.00174231}, {0.000111703, 0.0013628}, {-0.00033151, 0.00168054}, {-0.000622446, 0.00216128}, {-0.000137769, 0.00316293}, {0.000474186, 0.00373584}, {0.000923713, 0.00446389}, {0.00107932, 0.0052212}, {0.00103894, 0.00562663}, {0.000964015, 0.00532408}, {0.000885674, 0.00432542}, {0.000685293, 0.00307646}, {0.000265918, 0.00215933}, {-0.000271117, 0.00188898}, {-0.000642302, 0.00215959}, {-0.000597533, 0.00265122}, {-0.00100542, 0.00399852}, {-0.00100453, 0.00490882}, {-0.00062628, 0.0054026}, {3.83936e-05, 0.00552668}, {0.000727159, 0.00534067}, {0.00116081, 0.00480813}, {0.00121274, 0.00389263}, {0.000953263, 0.00274662}, {0.000546559, 0.00176346}, {0.000112018, 0.0013857}, {-0.00031816, 0.00180742}, {-0.000723358, 0.00282935}, {-0.00281408, 0.00435114}, {-0.00311088, 0.00524849}, {-0.00222225, 0.00520514}, {-0.000745311, 0.00477071}, {0.000542117, 0.00434811}, {0.00127201, 0.00379908}, {0.00160782, 0.0027327}, {0.00184164, 0.00114821}, {0.00193386, -0.000278334}, {0.00150077, -0.000626659}, {0.000276326, 0.000483073}, {-0.00143443, 0.002502}, {-0.00414115, 0.00374612}, {-0.00399791, 0.00430666}, {-0.00240286, 0.00385926}, {-0.000554662, 0.00332491}, {0.000764381, 0.00295489}, {0.00168498, 0.00215531}, {0.00273173, 0.000339295}, {0.00391123, -0.00211464}, {0.00442328, -0.00385595}, {0.00335944, -0.00361691}, {0.000717651, -0.00135349}, {-0.00231005, 0.0016348}, {-0.00365285, 0.00232984}, {-0.00278792, 0.00256214}, {-0.00109614, 0.00216252}, {0.000240346, 0.00189326}, {0.0011766, 0.00143774}, {0.00250374, -0.0001259}, {0.00459497, -0.00303389}, {0.00657677, -0.00611828}, {0.00687616, -0.00750867}, {0.00468409, -0.00617734}, {0.000901089, -0.00286973}, {-0.00241721, 0.000483923}, {-0.00143984, 0.00084618}, {-0.000447711, 0.00106599}, {0.000337655, 0.00107168}, {0.000600646, 0.00100688}, {0.00127956, 6.66812e-05}, {0.00330641, -0.00246444}, {0.00624328, -0.00605344}, {0.00829448, -0.00891638}, {0.00779645, -0.00931868}, {0.00477746, -0.00700737}, {0.00105523, -0.00342405}, {-0.00125896, -0.000496316}, {0.000966925, 7.28597e-05}, {0.00111309, 0.000576299}, {0.000480653, 0.000944169}, {-7.74375e-05, 0.00073422}, {0.000814661, -0.000830886}, {0.00346075, -0.00382169}, {0.00646833, -0.00709314}, {0.00780522, -0.00893505}, {0.00657037, -0.00836397}, {0.00377812, -0.0058766}, {0.00140297, -0.00297302}, {0.000624171, -0.000921167}, {0.00194438, 0.000232843}, {0.000836254, 0.00099782}, {-0.000729045, 0.00137722}, {-0.0012933, 0.000831765}, {6.42774e-05, -0.000917899}, {0.00271073, -0.00339083}, {0.00489816, -0.00548679}, {0.00527083, -0.00621866}, {0.00399808, -0.00540245}, {0.00245975, -0.00369449}, {0.00183763, -0.00197794}, {0.00202921, -0.000700615}, {0.00119042, 0.000918855}, {-0.000561453, 0.00163398}, {-0.00195718, 0.0017527}, {-0.00189511, 0.00112586}, {-0.000381752, -3.45243e-05}, {0.00145983, -0.00125615}, {0.0024085, -0.00209436}, {0.00219995, -0.00236859}, {0.00160762, -0.00216675}, {0.00151792, -0.00166024}, {0.00196498, -0.000940752}, {0.00211146, -3.96837e-05}
    };

    std::vector<double> expected_rho_2 {
      8.66322e-05, 9.09154e-05, 9.80794e-05, 9.62722e-05, 8.16604e-05, 6.46466e-05, 5.76474e-05, 6.49856e-05, 8.21971e-05, 9.67325e-05, 9.82953e-05, 9.09594e-05, 9.08935e-05, 0.000103381, 0.000114995, 0.000110548, 9.21788e-05, 7.69555e-05, 7.72464e-05, 9.2947e-05, 0.00011143, 0.000115579, 0.000103597, 9.09303e-05, 9.81246e-05, 0.000115021, 0.000122426, 0.000110464, 9.11147e-05, 8.25973e-05, 9.18823e-05, 0.000111692, 0.000123525, 0.000115612, 9.83109e-05, 8.99972e-05, 9.64228e-05, 0.000110554, 0.000110366, 9.60819e-05, 8.30607e-05, 8.35169e-05, 9.72864e-05, 0.000111778, 0.00011156, 9.68686e-05, 8.32922e-05, 8.31881e-05, 8.17731e-05, 9.19864e-05, 9.07279e-05, 8.27491e-05, 7.87781e-05, 8.35978e-05, 9.20407e-05, 9.31494e-05, 8.24252e-05, 6.828e-05, 6.20692e-05, 6.80515e-05, 6.45305e-05, 7.64246e-05, 8.18118e-05, 8.27818e-05, 8.31747e-05, 8.27708e-05, 7.74396e-05, 6.51951e-05, 5.07151e-05, 4.14035e-05, 4.13397e-05, 5.04355e-05, 5.72317e-05, 7.63516e-05, 9.06979e-05, 9.61549e-05, 9.12462e-05, 7.70786e-05, 5.77605e-05, 3.95271e-05, 2.74958e-05, 2.34614e-05, 2.74307e-05, 3.92893e-05, 6.43151e-05, 9.18088e-05, 0.000110324, 0.000110512, 9.22121e-05, 6.46479e-05, 3.93121e-05, 2.27458e-05, 1.53501e-05, 1.53502e-05, 2.27178e-05, 3.91666e-05, 8.14631e-05, 0.000110395, 0.000122401, 0.000110528, 8.15908e-05, 5.01446e-05, 2.71976e-05, 1.52503e-05, 1.18282e-05, 1.5279e-05, 2.72311e-05, 5.01152e-05, 9.62222e-05, 0.000114984, 0.000114997, 9.62193e-05, 6.76356e-05, 4.08901e-05, 2.31617e-05, 1.52301e-05, 1.52593e-05, 2.32485e-05, 4.10021e-05, 6.77051e-05, 9.81138e-05, 0.000103432, 9.80899e-05, 8.29138e-05, 6.15808e-05, 4.0922e-05, 2.72051e-05, 2.26743e-05, 2.73074e-05, 4.11016e-05, 6.17575e-05, 8.3011e-05, 9.09546e-05, 9.09482e-05, 8.99295e-05, 8.29393e-05, 6.77091e-05, 5.02057e-05, 3.92875e-05, 3.93831e-05, 5.04644e-05, 6.80165e-05, 8.31457e-05, 8.9998e-05, 9.10633e-05, 0.000103727, 0.000115365, 0.000110745, 9.21349e-05, 7.67424e-05, 7.69412e-05, 9.2585e-05, 0.000111041, 0.00011522, 0.000103358, 9.08835e-05, 0.000103701, 0.000124504, 0.000134884, 0.000122512, 0.000100863, 9.11523e-05, 0.000101495, 0.00012339, 0.0001354, 0.00012448, 0.000103513, 9.3817e-05, 0.000115401, 0.000134897, 0.00013461, 0.000114867, 9.70076e-05, 9.74646e-05, 0.000116038, 0.000135857, 0.000135583, 0.000115536, 9.7247e-05, 9.72654e-05, 0.000110854, 0.000122458, 0.000114721, 9.7906e-05, 9.01702e-05, 9.88692e-05, 0.000116222, 0.00012375, 0.000111506, 9.16747e-05, 8.26758e-05, 9.1491e-05, 9.21537e-05, 0.00010055, 9.65106e-05, 8.97913e-05, 9.02754e-05, 9.7747e-05, 0.000101942, 9.31185e-05, 7.5218e-05, 6.17738e-05, 6.16731e-05, 7.47928e-05, 7.64941e-05, 9.04369e-05, 9.64812e-05, 9.79791e-05, 9.72543e-05, 9.15561e-05, 7.7423e-05, 5.79902e-05, 4.20914e-05, 3.62082e-05, 4.1915e-05, 5.74885e-05, 7.63542e-05, 0.000100344, 0.000114587, 0.000114905, 0.000101082, 7.70694e-05, 5.08717e-05, 3.09099e-05, 2.10637e-05, 2.10258e-05, 3.07413e-05, 5.0444e-05, 9.17286e-05, 0.000122015, 0.000134293, 0.000122399, 9.22065e-05, 5.7515e-05, 3.07442e-05, 1.63273e-05, 1.21628e-05, 1.62989e-05, 3.06228e-05, 5.72021e-05, 0.000110202, 0.000134277, 0.00013443, 0.000110521, 7.44908e-05, 4.16398e-05, 2.0846e-05, 1.20913e-05, 1.20963e-05, 2.08422e-05, 4.15524e-05, 7.42453e-05, 0.000114719, 0.000123921, 0.000114978, 9.1113e-05, 6.12461e-05, 3.58088e-05, 2.07988e-05, 1.62058e-05, 2.08303e-05, 3.58149e-05, 6.11144e-05, 9.0823e-05, 0.000103218, 0.000103394, 9.70724e-05, 8.236e-05, 6.12713e-05, 4.15842e-05, 3.05734e-05, 3.0615e-05, 4.16597e-05, 6.12289e-05, 8.20841e-05, 9.66965e-05, 9.08957e-05, 9.38534e-05, 9.72175e-05, 9.12804e-05, 7.45219e-05, 5.7346e-05, 5.05292e-05, 5.75136e-05, 7.46703e-05, 9.11503e-05, 9.6815e-05, 9.3506e-05, 9.86094e-05, 0.000115747, 0.000123048, 0.000110663, 9.08732e-05, 8.20784e-05, 9.12166e-05, 0.000110974, 0.000122855, 0.000115104, 9.80793e-05, 9.01144e-05, 0.000115677, 0.000135256, 0.000134858, 0.000114877, 9.68091e-05, 9.71348e-05, 0.000115643, 0.000135466, 0.000135259, 0.000115324, 9.71789e-05, 9.73665e-05, 0.000123007, 0.000134853, 0.000123983, 0.000103236, 9.38226e-05, 0.000104024, 0.000125149, 0.000135709, 0.000123261, 0.000101352, 9.13447e-05, 0.000101393, 0.000110692, 0.000114818, 0.000103106, 9.08733e-05, 9.13118e-05, 0.000104243, 0.000116106, 0.000111556, 9.282e-05, 7.71886e-05, 7.71179e-05, 9.2474e-05, 9.08436e-05, 9.65136e-05, 9.33522e-05, 9.09421e-05, 9.4111e-05, 9.76827e-05, 9.18949e-05, 7.51509e-05, 5.78519e-05, 5.08473e-05, 5.76128e-05, 7.453e-05, 8.18096e-05, 9.64211e-05, 0.00010304, 0.000103372, 9.72367e-05, 8.26992e-05, 6.17002e-05, 4.19795e-05, 3.0861e-05, 3.07771e-05, 4.16703e-05, 6.10691e-05, 9.05933e-05, 0.000114455, 0.000123711, 0.000114913, 9.12288e-05, 6.14839e-05, 3.60552e-05, 2.09796e-05, 1.63161e-05, 2.08773e-05, 3.57783e-05, 6.0974e-05, 0.00011007, 0.000134092, 0.00013429, 0.000110516, 7.45997e-05, 4.17636e-05, 2.09183e-05, 1.21148e-05, 1.20948e-05, 2.08283e-05, 4.15268e-05, 7.41847e-05, 0.000122013, 0.000134236, 0.00012238, 9.22473e-05, 5.754e-05, 3.0698e-05, 1.62329e-05, 1.206e-05, 1.62133e-05, 3.0595e-05, 5.72528e-05, 9.17953e-05, 0.000114645, 0.000114906, 0.000101072, 7.70042e-05, 5.0684e-05, 3.06272e-05, 2.07683e-05, 2.07734e-05, 3.05934e-05, 5.04678e-05, 7.6513e-05, 0.000100497, 9.79817e-05, 9.71761e-05, 9.1389e-05, 7.7092e-05, 5.7483e-05, 4.15174e-05, 3.56908e-05, 4.1552e-05, 5.73798e-05, 7.66353e-05, 9.06577e-05, 9.66092e-05, 9.01536e-05, 9.74878e-05, 0.000101498, 9.245e-05, 7.44172e-05, 6.10165e-05, 6.11036e-05, 7.45356e-05, 9.22486e-05, 0.000100826, 9.67187e-05, 8.98243e-05, 9.70445e-05, 0.000111374, 0.00011095, 9.61412e-05, 8.26514e-05, 8.28281e-05, 9.64852e-05, 0.000111005, 0.00011091, 9.64205e-05, 8.31343e-05, 8.34063e-05, 0.000111252, 0.000122974, 0.00011505, 9.789e-05, 8.98579e-05, 9.83735e-05, 0.000115662, 0.000123223, 0.00011106, 9.13501e-05, 8.25301e-05, 9.16022e-05, 0.000110875, 0.00011508, 0.000103296, 9.09165e-05, 9.12227e-05, 0.000104068, 0.000115891, 0.000111329, 9.25934e-05, 7.69896e-05, 7.69925e-05, 9.24877e-05, 9.62098e-05, 9.79353e-05, 9.08547e-05, 8.68207e-05, 9.14111e-05, 9.88162e-05, 9.70291e-05, 8.21707e-05, 6.48023e-05, 5.7497e-05, 6.46014e-05, 8.16684e-05, 8.27292e-05, 8.97105e-05, 9.08607e-05, 9.11018e-05, 9.03403e-05, 8.34977e-05, 6.81965e-05, 5.04528e-05, 3.92764e-05, 3.91645e-05, 5.00874e-05, 6.75631e-05, 8.26807e-05, 9.77966e-05, 0.000103231, 9.81339e-05, 8.32174e-05, 6.19824e-05, 4.12142e-05, 2.73047e-05, 2.26135e-05, 2.71287e-05, 4.08387e-05, 6.14492e-05, 9.5941e-05, 0.000114618, 0.000114753, 9.62806e-05, 6.79379e-05, 4.11991e-05, 2.33238e-05, 1.52523e-05, 1.52009e-05, 2.31512e-05, 4.08889e-05, 6.75442e-05, 0.000110162, 0.000122095, 0.000110427, 8.17862e-05, 5.0443e-05, 2.73845e-05, 1.52887e-05, 1.17873e-05, 1.52261e-05, 2.72218e-05, 5.01503e-05, 8.14217e-05, 0.000110171, 0.000110381, 9.23012e-05, 6.48832e-05, 3.9473e-05, 2.27385e-05, 1.52364e-05, 1.52218e-05, 2.26613e-05, 3.92454e-05, 6.446e-05, 9.18326e-05, 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6.44104e-05, 5.01449e-05, 4.10289e-05, 4.11812e-05, 5.06168e-05, 6.51726e-05, 7.73944e-05, 8.26822e-05, 8.31357e-05, 6.15942e-05, 6.11273e-05, 5.72985e-05, 5.01091e-05, 4.31518e-05, 4.04236e-05, 4.3452e-05, 5.06437e-05, 5.79142e-05, 6.16383e-05, 6.18734e-05, 6.13421e-05, 4.09818e-05, 4.15985e-05, 4.15572e-05, 4.09014e-05, 4.0327e-05, 4.04638e-05, 4.12472e-05, 4.19588e-05, 4.1913e-05, 4.11548e-05, 4.04129e-05, 4.03618e-05, 2.72111e-05, 3.05815e-05, 3.57446e-05, 4.09086e-05, 4.32044e-05, 4.11038e-05, 3.59997e-05, 3.07639e-05, 2.72845e-05, 2.572e-05, 2.53444e-05, 2.57109e-05, 2.2589e-05, 3.05561e-05, 4.15504e-05, 5.01698e-05, 5.02356e-05, 4.16823e-05, 3.06455e-05, 2.25988e-05, 1.86818e-05, 1.74636e-05, 1.7485e-05, 1.87168e-05, 2.71773e-05, 4.16117e-05, 5.74306e-05, 6.46101e-05, 5.74248e-05, 4.15777e-05, 2.71114e-05, 1.86239e-05, 1.51043e-05, 1.42819e-05, 1.51561e-05, 1.86992e-05, 4.10803e-05, 6.14228e-05, 7.69694e-05, 7.68745e-05, 6.12028e-05, 4.0856e-05, 2.55604e-05, 1.74061e-05, 1.42788e-05, 1.43076e-05, 1.74957e-05, 2.57203e-05, 6.20656e-05, 8.27079e-05, 9.13211e-05, 8.23376e-05, 6.15819e-05, 4.02118e-05, 2.52499e-05, 1.74787e-05, 1.52014e-05, 1.75472e-05, 2.54363e-05, 4.05728e-05, 8.36866e-05, 9.75719e-05, 9.72608e-05, 8.29743e-05, 6.11935e-05, 4.02683e-05, 2.57052e-05, 1.87937e-05, 1.88347e-05, 2.58778e-05, 4.06853e-05, 6.18802e-05, 9.11601e-05, 9.09426e-05, 8.97729e-05, 8.27763e-05, 6.76532e-05, 5.02583e-05, 3.93943e-05, 3.95204e-05, 5.06554e-05, 6.83026e-05, 8.35189e-05, 9.03547e-05, 9.09245e-05, 9.34901e-05, 9.667e-05, 9.08764e-05, 7.44473e-05, 5.75357e-05, 5.08546e-05, 5.79332e-05, 7.52097e-05, 9.18112e-05, 9.74706e-05, 9.39301e-05, 8.97869e-05, 9.66823e-05, 0.000100631, 9.19722e-05, 7.44656e-05, 6.14208e-05, 6.16916e-05, 7.5242e-05, 9.30476e-05, 0.000101631, 9.7321e-05, 8.99961e-05, 8.28777e-05, 9.09063e-05, 9.1938e-05, 8.14685e-05, 6.77245e-05, 6.19228e-05, 6.8336e-05, 8.25139e-05, 9.30233e-05, 9.16709e-05, 8.32304e-05, 7.86475e-05, 6.77727e-05, 7.43911e-05, 7.42748e-05, 6.75477e-05, 6.13202e-05, 6.16339e-05, 6.83709e-05, 7.52609e-05, 7.51536e-05, 6.81695e-05, 6.15479e-05, 6.14371e-05, 5.02493e-05, 5.72736e-05, 6.09801e-05, 6.14777e-05, 6.13608e-05, 6.19933e-05, 6.1736e-05, 5.7913e-05, 5.05991e-05, 4.34769e-05, 4.05652e-05, 4.33561e-05, 3.91816e-05, 5.03478e-05, 6.09751e-05, 6.7602e-05, 6.78175e-05, 6.14664e-05, 5.08095e-05, 3.94358e-05, 3.05471e-05, 2.58674e-05, 2.58591e-05, 3.04706e-05, 3.9116e-05, 5.72121e-05, 7.43156e-05, 8.15964e-05, 7.45406e-05, 5.74702e-05, 3.92512e-05, 2.59651e-05, 1.87897e-05, 1.66323e-05, 1.88148e-05, 2.59517e-05, 5.0137e-05, 7.44282e-05, 9.21484e-05, 9.21712e-05, 7.44555e-05, 5.01106e-05, 3.02757e-05, 1.86899e-05, 1.38632e-05, 1.38928e-05, 1.87636e-05, 3.03505e-05, 6.78448e-05, 9.12319e-05, 0.000101032, 9.10847e-05, 6.76189e-05, 4.30339e-05, 2.55919e-05, 1.65129e-05, 1.38705e-05, 1.65889e-05, 2.57461e-05, 4.32515e-05, 8.32783e-05, 9.72226e-05, 9.70697e-05, 8.29063e-05, 6.11548e-05, 4.02162e-05, 2.56549e-05, 1.87621e-05, 1.88117e-05, 2.58205e-05, 4.0521e-05, 6.15628e-05, 9.03043e-05, 9.39006e-05, 8.99368e-05, 7.84719e-05, 6.11747e-05, 4.31503e-05, 3.04273e-05, 2.60732e-05, 3.05863e-05, 4.35031e-05, 6.17045e-05, 7.90349e-05
    };

    const psi::DEVICE_CPU * cpu_ctx = {};
    const psi::DEVICE_GPU * gpu_ctx = {};

    using elecstate_cpu_op = elecstate::elecstate_pw_op<double, psi::DEVICE_CPU>;
    using elecstate_gpu_op = elecstate::elecstate_pw_op<double, psi::DEVICE_GPU>;

    using delete_memory_complex_op = psi::memory::delete_memory_op<std::complex<double>, psi::DEVICE_GPU>;
    using resize_memory_complex_op = psi::memory::resize_memory_op<std::complex<double>, psi::DEVICE_GPU>;
    using syncmem_complex_h2d_op = psi::memory::synchronize_memory_op<std::complex<double>, psi::DEVICE_GPU, psi::DEVICE_CPU>;
    using syncmem_complex_d2h_op = psi::memory::synchronize_memory_op<std::complex<double>, psi::DEVICE_CPU, psi::DEVICE_GPU>;

    using delete_memory_var_op = psi::memory::delete_memory_op<double, psi::DEVICE_GPU>;
    using resize_memory_var_op = psi::memory::resize_memory_op<double, psi::DEVICE_GPU>;
    using syncmem_var_h2d_op = psi::memory::synchronize_memory_op<double, psi::DEVICE_GPU, psi::DEVICE_CPU>;
    using syncmem_var_d2h_op = psi::memory::synchronize_memory_op<double, psi::DEVICE_CPU, psi::DEVICE_GPU>;

    void SetUp() override {
    }
    void TearDown() override {
    }
};

TEST_F(TestModuleElecstateMultiDevice, elecstate_pw_op_cpu)
{
    std::vector<double> rho_data(expected_rho.size(), 0);
    double ** rho = new double* [1];
    rho[0] = rho_data.data();
    elecstate_cpu_op()(
      this->cpu_ctx, 
      this->spin, this->nrxx,
      this->w1, 
      rho, 
      this->wfcr.data());
    
    // check the result 
    for (int ii = 0; ii < rho_data.size(); ii++) {
        EXPECT_LT(fabs(rho_data[ii] - expected_rho[ii]), 6e-5);
    }
    delete [] rho;
}

TEST_F(TestModuleElecstateMultiDevice, elecstate_pw_spin_op_cpu)
{
    std::vector<double> rho_data(expected_rho_2.size(), 0);
    double ** rho = new double* [4];
    rho[0] = rho_data.data();
    rho[1] = rho_data.data() + this->nrxx;
    rho[2] = rho_data.data() + this->nrxx * 2;
    rho[3] = rho_data.data() + this->nrxx * 3;
    elecstate_cpu_op()(
      this->cpu_ctx, 
      this->DOMAG,
      this->DOMAG_Z,
      this->nrxx,
      this->w1, 
      rho, 
      this->wfcr_2.data(),
      this->wfcr_another_spin_2.data());
    
    // check the result 
    for (int ii = 0; ii < rho_data.size(); ii++) {
        EXPECT_LT(fabs(rho_data[ii] - expected_rho_2[ii]), 5e-4);
    }
    delete [] rho;
}

#if __CUDA || __UT_USE_CUDA || __ROCM || __UT_USE_ROCM
TEST_F(TestModuleElecstateMultiDevice, elecstate_pw_op_gpu)
{
    std::vector<double> rho_data(expected_rho.size(), 0);
    double* d_rho_data = NULL;
    std::complex<double>* d_wfcr = NULL;
    resize_memory_var_op()(gpu_ctx, d_rho_data, rho_data.size());
    resize_memory_complex_op()(gpu_ctx, d_wfcr, wfcr.size());
    syncmem_var_h2d_op()(gpu_ctx, cpu_ctx, d_rho_data, rho_data.data(), rho_data.size());
    syncmem_complex_h2d_op()(gpu_ctx, cpu_ctx, d_wfcr, wfcr.data(), wfcr.size());
    double ** rho = new double* [1];
    rho[0] = d_rho_data;
    elecstate_gpu_op()(
      this->gpu_ctx, 
      this->spin, this->nrxx,
      this->w1,
      rho, 
      d_wfcr);
    
    syncmem_var_d2h_op()(cpu_ctx, gpu_ctx, rho_data.data(), d_rho_data, rho_data.size());
    // check the result 
    for (int ii = 0; ii < rho_data.size(); ii++) {
        EXPECT_LT(fabs(rho_data[ii] - expected_rho[ii]), 6e-5);
    }
    delete [] rho;
    delete_memory_var_op()(this->gpu_ctx, d_rho_data);
    delete_memory_complex_op()(this->gpu_ctx, d_wfcr);
}

TEST_F(TestModuleElecstateMultiDevice, elecstate_pw_spin_op_gpu)
{
    std::vector<double> rho_data_2(expected_rho_2.size(), 0);
    double* d_rho_data_2 = NULL;
    std::complex<double>* d_wfcr_2 = NULL;
    std::complex<double>* d_wfcr_another_spin_2 = NULL;
    resize_memory_var_op()(gpu_ctx, d_rho_data_2, rho_data_2.size());
    resize_memory_complex_op()(gpu_ctx, d_wfcr_2, wfcr_2.size());
    resize_memory_complex_op()(gpu_ctx, d_wfcr_another_spin_2, wfcr_another_spin_2.size());
    syncmem_var_h2d_op()(gpu_ctx, cpu_ctx, d_rho_data_2, rho_data_2.data(), rho_data_2.size());
    syncmem_complex_h2d_op()(gpu_ctx, cpu_ctx, d_wfcr_2, wfcr_2.data(), wfcr_2.size());
    syncmem_complex_h2d_op()(gpu_ctx, cpu_ctx, d_wfcr_another_spin_2, wfcr_another_spin_2.data(), wfcr_another_spin_2.size());
    double ** rho = new double* [4];
    rho[0] = d_rho_data_2;
    rho[1] = d_rho_data_2 + this->nrxx;
    rho[2] = d_rho_data_2 + this->nrxx * 2;
    rho[3] = d_rho_data_2 + this->nrxx * 3;

    elecstate_gpu_op()(
      this->gpu_ctx, 
      this->DOMAG,
      this->DOMAG_Z,
      this->nrxx,
      this->w1, 
      rho, 
      d_wfcr_2,
      d_wfcr_another_spin_2);
    
    syncmem_var_d2h_op()(cpu_ctx, gpu_ctx, rho_data_2.data(), d_rho_data_2, rho_data_2.size());
    // check the result 
    for (int ii = 0; ii < rho_data_2.size(); ii++) {
        EXPECT_LT(fabs(rho_data_2[ii] - expected_rho_2[ii]), 5e-4);
    }
    delete [] rho;
    delete_memory_var_op()(this->gpu_ctx, d_rho_data_2);
    delete_memory_complex_op()(this->gpu_ctx, d_wfcr_2);
    delete_memory_complex_op()(this->gpu_ctx, d_wfcr_another_spin_2);
}
#endif // __CUDA || __UT_USE_CUDA || __ROCM || __UT_USE_ROCM

